Physical Review DPub Date : 2025-02-24DOI: 10.1103/physrevd.111.035024
Arindam Basu, Amit Chakraborty, Yi Liu, Stefano Moretti, Harri Waltari
{"title":"Leptonic CP violation in the sneutrino sector of the BLSSM with an inverse seesaw mechanism","authors":"Arindam Basu, Amit Chakraborty, Yi Liu, Stefano Moretti, Harri Waltari","doi":"10.1103/physrevd.111.035024","DOIUrl":"https://doi.org/10.1103/physrevd.111.035024","url":null,"abstract":"We study C</a:mi>P</a:mi></a:math> violation (CPV) in the sneutrino sector within the B-L extension of the minimal supersymmetric Standard Model, wherein an inverse seesaw mechanism has been implemented. CPV arises from the new superpotential couplings in the (s)neutrino sector, which can be complex and the mixing of <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi>C</c:mi><c:mi>P</c:mi></c:math> eigenstates induced by those couplings. CPV leads to asymmetries in so-called T-odd observables, but we argue that such asymmetries also lead to a wider distribution of those observables. We look at a final state where a sneutrino decays to a lepton, two jets, and missing transverse momentum at the Future Circular Collider operating in hadron-hadron mode at 100 TeV and with a luminosity of <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mrow><e:mn>3</e:mn><e:mtext> </e:mtext><e:mtext> </e:mtext><e:msup><e:mrow><e:mi>ab</e:mi></e:mrow><e:mrow><e:mo>−</e:mo><e:mn>1</e:mn></e:mrow></e:msup></e:mrow></e:math>. In order to exclude the <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:mi>C</g:mi><g:mi>P</g:mi></g:math> conserving scenario we need to improve traditional analysis by introducing boosted decision trees using both standard kinematic variables and T-odd observables and we need <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msup><i:mi>Z</i:mi><i:mo>′</i:mo></i:msup></i:math> boson not too much above current bounds as a portal to produce sneutrinos efficiently. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"12 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143485572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review DPub Date : 2025-02-24DOI: 10.1103/physrevd.111.035022
Jorge Alda, Carlo Broggini, Giuseppe Di Carlo, Luca Di Luzio, Denise Piatti, Stefano Rigolin, Claudio Toni
{"title":"Weak nuclear decays deep-underground as a probe of axion dark matter","authors":"Jorge Alda, Carlo Broggini, Giuseppe Di Carlo, Luca Di Luzio, Denise Piatti, Stefano Rigolin, Claudio Toni","doi":"10.1103/physrevd.111.035022","DOIUrl":"https://doi.org/10.1103/physrevd.111.035022","url":null,"abstract":"We investigate the time modulation of weak nuclear decays as a method to probe axion dark matter. To this end, we develop a theoretical framework to compute the θ</a:mi></a:math> dependence of weak nuclear decays, including electron capture and <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi>β</c:mi></c:math> decay, which enables us to predict the time variation of weak radioactivity in response to an oscillating axion dark matter background. As an application, we recast old datasets, from the weak nuclear decays of <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mmultiscripts><e:mi mathvariant=\"normal\">K</e:mi><e:mprescripts/><e:none/><e:mrow><e:mn>40</e:mn></e:mrow></e:mmultiscripts></e:math> and <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:mrow><h:mmultiscripts><h:mrow><h:mi>Cs</h:mi></h:mrow><h:mprescripts/><h:none/><h:mrow><h:mn>137</h:mn></h:mrow></h:mmultiscripts></h:mrow></h:math> taken at the underground Gran Sasso Laboratory, in order to set constraints on the axion decay constant, specifically in the axion mass range from few <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:msup><j:mn>10</j:mn><j:mrow><j:mo>−</j:mo><j:mn>23</j:mn></j:mrow></j:msup></j:math> up to <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:msup><l:mn>10</l:mn><l:mrow><l:mo>−</l:mo><l:mn>19</l:mn></l:mrow></l:msup><l:mtext> </l:mtext><l:mtext> </l:mtext><l:mi>eV</l:mi></l:math>. We finally propose a new measurement at the Gran Sasso Laboratory, based on the weak nuclear decay of <n:math xmlns:n=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><n:mmultiscripts><n:mi mathvariant=\"normal\">K</n:mi><n:mprescripts/><n:none/><n:mrow><n:mn>40</n:mn></n:mrow></n:mmultiscripts></n:math> via electron capture, in order to explore even shorter timescales, thus reaching sensitivities to axion masses up to <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:msup><q:mn>10</q:mn><q:mrow><q:mo>−</q:mo><q:mn>9</q:mn></q:mrow></q:msup><q:mtext> </q:mtext><q:mtext> </q:mtext><q:mi>eV</q:mi></q:math>. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"51 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143485605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review DPub Date : 2025-02-24DOI: 10.1103/physrevd.111.035025
Konstantin A. Kouzakov, Fedor M. Lazarev, Alexander I. Studenikin
{"title":"Electromagnetic interactions in elastic neutrino-nucleon scattering","authors":"Konstantin A. Kouzakov, Fedor M. Lazarev, Alexander I. Studenikin","doi":"10.1103/physrevd.111.035025","DOIUrl":"https://doi.org/10.1103/physrevd.111.035025","url":null,"abstract":"A thorough account of electromagnetic interactions of massive Dirac neutrinos as well as their spin-flavor state in the theoretical formulation of elastic neutrino-nucleon scattering is given. The formalism of neutrino charge, magnetic, electric, and anapole form factors defined as matrices in the mass basis is employed under the assumption of three-neutrino mixing. The flavor and spin change of neutrinos propagating from the source to the detector is taken into account in the form of a spin-flavor density matrix of the neutrino arriving at the detector. The potential effects of the neutrino charge radii, magnetic moments, and spin polarization in the neutrino-nucleon scattering experiments are outlined. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"27 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143485612","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review DPub Date : 2025-02-24DOI: 10.1103/physrevd.111.043048
M.-S. Hartig, S. Paczkowski, M. Hewitson, G. Heinzel, G. Wanner
{"title":"Postprocessing subtraction of tilt-to-length noise in LISA in the presence of gravitational wave signals","authors":"M.-S. Hartig, S. Paczkowski, M. Hewitson, G. Heinzel, G. Wanner","doi":"10.1103/physrevd.111.043048","DOIUrl":"https://doi.org/10.1103/physrevd.111.043048","url":null,"abstract":"The Laser Interferometer Space Antenna (LISA) will be the first space-based gravitational wave (GW) observatory. It will measure gravitational wave signals in the frequency regime from 0.1 mHz to 1 Hz. The success of these measurements will depend on the suppression of the various instrument noises. One important noise source in LISA will be tilt-to-length (TTL) coupling. Here, it is understood as the coupling of angular jitter, predominantly from the spacecraft, into the interferometric length readout. The current plan is to subtract this noise in flight in postprocessing as part of a noise minimization strategy. It is crucial to distinguish TTL coupling well from the GW signals in the same readout to ensure that the noise will be properly modeled. Furthermore, it is important that the subtraction of TTL noise will not degrade the GW signals. In the present manuscript, we show on simulated LISA data and for four different GW signal types that the GW responses have little effect on the quality of the TTL coupling fit and subtraction. Also, the GW signal characteristics were not altered by the TTL coupling subtraction. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"22 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143485603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review DPub Date : 2025-02-24DOI: 10.1103/physrevd.111.l031504
Namit Mahajan, Dayanand Mishra
{"title":"Smallness of charm-loop effects in B→K(*)ℓℓ at low q2 : Light-meson distribution-amplitude analysis","authors":"Namit Mahajan, Dayanand Mishra","doi":"10.1103/physrevd.111.l031504","DOIUrl":"https://doi.org/10.1103/physrevd.111.l031504","url":null,"abstract":"The nonlocal effects originating from the charm quark loops at dilepton invariant masses smaller than the charmonium threshold in B</a:mi>→</a:mo>K</a:mi>ℓ</a:mo>ℓ</a:mo></a:math> are evaluated with light-meson distribution amplitudes. The revised estimates with <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:mi>B</d:mi></d:math>-meson distribution amplitude within a light cone sum rule approach yielded results about three orders smaller than the original computation. In view of the importance of these nonfactorizable soft gluon effects, both conceptually and phenomenologically, an independent evaluation is necessary. It is found that to twist-4 accuracy, these soft gluon effects vanish when evaluated employing the kaon distribution amplitude. Similar results hold for <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mi>B</f:mi><f:mo stretchy=\"false\">→</f:mo><f:msup><f:mi>K</f:mi><f:mo>*</f:mo></f:msup><f:mo>ℓ</f:mo><f:mo>ℓ</f:mo></f:math> to the leading twist. This eliminates one of the major sources of potential uncertainty which usually makes it difficult for a clear case of new physics, should the data show deviations from the standard model. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"22 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143485608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review DPub Date : 2025-02-24DOI: 10.1103/physrevd.111.043047
R. Conceição, B. S. González, A. Guillén, M. Pimenta, B. Tomé
{"title":"Discriminating sub-TeV gamma and hadron-induced showers through their footprints","authors":"R. Conceição, B. S. González, A. Guillén, M. Pimenta, B. Tomé","doi":"10.1103/physrevd.111.043047","DOIUrl":"https://doi.org/10.1103/physrevd.111.043047","url":null,"abstract":"Gamma/hadron discrimination in ground-based gamma-ray observatories at the sub-TeV energy range is challenging as traditional muon-based methods become less effective at lower energies. This work explores a novel gamma/hadron discrimination method for extensive air shower arrays that analyzes the shower signal footprint patterns using a state-of-the-art pretrained vision transformer. The resilience of the method to background noise, such as atmospheric muons and low-energy proton showers, along with its adaptability to different zenith angles and array configurations, demonstrates its potential for application in current and future ground-based gamma-ray observatories. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"188 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143485604","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review DPub Date : 2025-02-24DOI: 10.1103/physrevd.111.034034
A. F. Krutov, V. E. Troitsky
{"title":"Step toward estimation of the neutral-hadron size: The gravitational mass radius of π0 meson in a relativistic theory of composite particles","authors":"A. F. Krutov, V. E. Troitsky","doi":"10.1103/physrevd.111.034034","DOIUrl":"https://doi.org/10.1103/physrevd.111.034034","url":null,"abstract":"We extend our nonperturbative essentially relativistic approach, elaborated previously, to perform an approximate estimation of the size of π</a:mi></a:mrow>0</a:mn></a:msup></a:mrow></a:math> meson. We present detailed argumentation for choosing the mass mean square radius (mass MSR) for this purpose. Its value calculated in our approach, using three model quark-antiquark wave functions in pion, is <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mo stretchy=\"false\">(</c:mo><c:mn>0.5</c:mn><c:mo>–</c:mo><c:mn>0.53</c:mn><c:mo stretchy=\"false\">)</c:mo><c:mtext> </c:mtext><c:mtext> </c:mtext><c:mi>fm</c:mi></c:math>. The neutral-pion electromagnetic form factor is zero in accordance with the charge-conjugation symmetry. We demonstrate ambiguities encountered when using standard definitions of mechanical MSR for the size. We discuss MSRs obtained in various approaches and their comparison with each other and with our results. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"27 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143485573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review DPub Date : 2025-02-24DOI: 10.1103/physrevd.111.034035
Halil Mutuk
{"title":"Revisiting light-flavor diquarks in the inverse matrix method of QCD sum rules","authors":"Halil Mutuk","doi":"10.1103/physrevd.111.034035","DOIUrl":"https://doi.org/10.1103/physrevd.111.034035","url":null,"abstract":"This study reexamines the spectroscopic parameters of light-flavor diquarks within the framework of quantum chromodynamics sum rules (QCDSR) using the inverse matrix method. Conventional QCDSR analyses are based on assumptions such as quark-hadron duality and continuum models, which introduce a degree of systematic uncertainty. The inverse matrix method circumvents these assumptions by reformulating the problem as an inverse integral equation and expanding the unknown spectral density using orthogonal Laguerre polynomials. This method allows for a direct determination of spectral densities, thereby enhancing the precision of predictions regarding resonance masses and decay constants. By employing this methodology with regard to light-flavor diquarks (s</a:mi>q</a:mi></a:mrow></a:math> and <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi>u</c:mi><c:mi>d</c:mi></c:math>), it is possible to extract the associated masses and decay constants. The results indicate that the masses of diquarks with quantum numbers <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:msup><e:mi>J</e:mi><e:mi>P</e:mi></e:msup><e:mo>=</e:mo><e:msup><e:mn>0</e:mn><e:mo>+</e:mo></e:msup></e:math> and <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:msup><g:mi>J</g:mi><g:mi>P</g:mi></g:msup><g:mo>=</g:mo><g:msup><g:mn>0</g:mn><g:mo>−</g:mo></g:msup></g:math> are nearly degenerate. We compare our results regarding masses and decay constants with those of other theoretical predictions, which could prove a useful complementary tool in interpretation. Our results are consistent with those in the literature and can be shown as evidence for the consistency of the method. The results achieved in this study highlight the potential of the inverse matrix method as a robust tool for exploring nonperturbative QCD phenomena and elucidating the internal structure of exotic hadronic systems. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"48 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143485665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review DPub Date : 2025-02-24DOI: 10.1103/physrevd.111.035021
Christopher D. Carone, Noah L. Donald
{"title":"Tuning toward the edge of a dark abyss: Implications of a tuning paradigm on the hierarchy between the weak and dark matter scales","authors":"Christopher D. Carone, Noah L. Donald","doi":"10.1103/physrevd.111.035021","DOIUrl":"https://doi.org/10.1103/physrevd.111.035021","url":null,"abstract":"It has recently been suggested that tuning toward the boundary of the positivity domain of the scalar potential may explain the separation between the electroweak scale and the unification scale in a grand unified theory. Here, we explore the possibility that the same type of tuning might account for the generation of the electroweak scale from a much lighter dynamically generated scale in a dark sector. We present a model that realizes this idea and provides a proof of principle that the same dark sector can include a viable dark matter candidate. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"31 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143485607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review DPub Date : 2025-02-24DOI: 10.1103/physrevd.111.046024
Pietro Benetti Genolini, Jerome P. Gauntlett, Yusheng Jiao, Alice Lüscher, James Sparks
{"title":"Toric gravitational instantons in gauged supergravity","authors":"Pietro Benetti Genolini, Jerome P. Gauntlett, Yusheng Jiao, Alice Lüscher, James Sparks","doi":"10.1103/physrevd.111.046024","DOIUrl":"https://doi.org/10.1103/physrevd.111.046024","url":null,"abstract":"We introduce a general class of toric gravitational instantons in D</a:mi>=</a:mo>4</a:mn></a:math>, <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi mathvariant=\"script\">N</c:mi><c:mo>=</c:mo><c:mn>2</c:mn></c:math> gauged supergravity, namely Euclidean supersymmetric solutions with <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mi>U</f:mi><f:mo stretchy=\"false\">(</f:mo><f:mn>1</f:mn><f:msup><f:mo stretchy=\"false\">)</f:mo><f:mn>2</f:mn></f:msup></f:math> isometry. Such solutions are specified by a “supergravity labeled polytope,” where the labels encode the four-manifold topology, the choice of magnetic fluxes, and certain signs associated with the Killing spinor. Equivariant localization allows us to write down the gravitational free energy for such a solution, assuming it exists, and study its properties. These results open the way for a systematic study of holography in this setting, where the dual large <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:mi>N</j:mi></j:math> field theories are defined on the boundary three-manifolds, which are (squashed) lens spaces <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:mi>L</l:mi><l:mo stretchy=\"false\">(</l:mo><l:mi>p</l:mi><l:mo>,</l:mo><l:mi>q</l:mi><l:mo stretchy=\"false\">)</l:mo></l:math> or generalizations with orbifold singularities. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"27 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143485606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}