{"title":"AdSD × I solutions in axio-dilaton gravity","authors":"Giuseppe Dibitetto, Nicolò Petri","doi":"10.1007/JHEP09(2026)032","DOIUrl":"10.1007/JHEP09(2026)032","url":null,"abstract":"<p>We study non-supersymmetric AdS<sub><i>D</i></sub> × <i>I</i> solutions in the context of (<i>D</i> + 1) dimensional gravity coupled to an axio-dilaton with arbitrary runaway potential for the dilaton and arbitrary exponential coupling of the dilaton to the axion kinetic energy. We analyze the equations of motion, reformulate them in terms of a first order autonomous dynamical system, and discuss the set of fixed points, their physical interpretation and their stability conditions. We find a few special classes of analytic solutions for arbitrary <i>D</i>, including AdS<sub>9</sub> × <i>I</i> backgrounds in type IIB supergravity. We conclude by discussing the properties of numerical flows including the massive IIA supergravity case.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 9","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP09(2026)032.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148871797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A relation between the HOMFLY-PT and Kauffman polynomials via characters","authors":"Andreani Petrou, Shinobu Hikami","doi":"10.1007/JHEP09(2026)027","DOIUrl":"10.1007/JHEP09(2026)027","url":null,"abstract":"<p>The HOMFLY-PT and Kauffman polynomials are related to each other for special classes of knots constructed by full twists and Jucys-Murphy twists. The conditions for this relation are articulated in terms of characters of the Birman-Murakami-Wenzl algebra. The latter are the coefficients in the expansion of the Kauffman polynomial involving the quantum dimensions of <i>SO</i>(<i>N</i> + 1). This expansion allows to prove the conjectural 1-1 correspondence between the HOMFLY-PT/Kauffman relation and the Harer-Zagier (HZ) factorisability for a large family of 3-strand knots. The conjecture remains open for knots with braid index 4 or higher.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 9","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP09(2026)027.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148871795","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Emergent strings from quantum field theory","authors":"Guim Planella Planas","doi":"10.1007/JHEP09(2026)028","DOIUrl":"10.1007/JHEP09(2026)028","url":null,"abstract":"<p>We develop a procedure that reorganizes the perturbative expansion in a class of quantum field theories into a stringy amplitude expressed as a sum over two-dimensional geometries. Using Schwinger parametrization and the one-to-one correspondence between metric ribboned graphs and the moduli space of Riemann surfaces established via Strebel differentials, we map each Feynman diagram to a surface. We then construct a conformal field theory on the worldsheet whose correlation functions encode the full set of QFT Feynman rules directly from the geometry of the associated Riemann surface. Restoring diffeomorphism and Weyl invariance promotes the integral over moduli space to a path integral over worldsheet metrics, yielding a non-critical string theory whose Liouville mode naturally becomes a holographic direction. By construction, the expansion of the string theory amplitudes in the number of boundary state insertions matches the loop expansion in the QFT at fixed genus. Moreover, loop divergences are shown to match standard string-theoretic degeneration limits, indicating that gravitational backreaction is equivalent to QFT renormalization. Our construction provides a microscopic route from generic QFTs to emergent string theories and offers a framework for deriving holographic duals directly from field-theoretic data.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 9","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP09(2026)028.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148871525","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Erratum: Electromagnetic leptogenesis — an EFT-consistent analysis via Wilson coefficients. Part II. Low-scale, resonant regime","authors":"Rin Takada","doi":"10.1007/JHEP09(2026)037","DOIUrl":"10.1007/JHEP09(2026)037","url":null,"abstract":"","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 9","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP09(2026)037.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148871538","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nathan Benjamin, A. Liam Fitzpatrick, Wei Li, Jesse Thaler
{"title":"Descending into the modular bootstrap","authors":"Nathan Benjamin, A. Liam Fitzpatrick, Wei Li, Jesse Thaler","doi":"10.1007/JHEP09(2026)029","DOIUrl":"10.1007/JHEP09(2026)029","url":null,"abstract":"<p>In this paper, we attempt to explore the landscape of two-dimensional conformal field theories (2d CFTs) by efficiently searching for numerical solutions to the modular bootstrap equation using machine-learning-style optimization. The torus partition function of a 2d CFT is fixed by the spectrum of its primary operators and its chiral algebra, which we take to be the Virasoro algebra with <i>c ></i> 1. We translate the requirement that this partition function is modular invariant into a loss function, which we then minimize to identify possible primary spectra. Our approach involves two technical innovations that facilitate finding reliable candidate CFTs. The first is a strategy to estimate the uncertainty associated with truncating the spectrum to the lowest dimension operators. The second is the use of a new singular-value-based optimizer (Sven) that is more effective than gradient descent at navigating the hierarchical structure of the loss landscape. We numerically construct candidate truncated CFT partition functions with central charges between 1 and <span>(frac{8}{7})</span>, a range devoid of known examples, and argue that these candidates likely come from a continuous space of modular bootstrap solutions. We also provide evidence for a more stringent constraint on the spectral gap near <i>c</i> = 1 than the existing bound of <span>({Delta}_{text {gap}}le frac{c}{6}+frac{1}{3})</span>.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 9","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP09(2026)029.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148871794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Continuum canonical purifications","authors":"Jonathan Sorce","doi":"10.1007/JHEP09(2026)033","DOIUrl":"10.1007/JHEP09(2026)033","url":null,"abstract":"<p>We construct and characterize canonical purifications for general algebraic states, extending prior constructions by Woronowicz and by Dutta/Faulkner to general quantum field theories. Given a quantum state on a *-algebra, the canonical purification is a state on a “doubled” algebra that admits an interpretation in terms of CRT reflection. This interpretation holds for all quantum theories, even in the absence of gravity. We then identify conditions under which canonical purifications are “pure” in the technical sense, compute their modular conjugations, and relate them to GNS and natural-cone purifications in certain settings. In an appendix, we develop a general theory of von Neumann algebras generated by unbounded *-algebras. In a forthcoming paper with Caminiti and Capeccia, we provide an application of this general theory to the problem of excitability in quantum field theory.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 9","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP09(2026)033.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148871796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Koji Hashimoto, Koichi Kyo, Masaki Murata, Gakuto Ogiwara, Norihiro Tanahashi
{"title":"Gluon scattering amplitudes with instantons and minimal surfaces with topology change","authors":"Koji Hashimoto, Koichi Kyo, Masaki Murata, Gakuto Ogiwara, Norihiro Tanahashi","doi":"10.1007/JHEP09(2026)025","DOIUrl":"10.1007/JHEP09(2026)025","url":null,"abstract":"<p>We study the instanton effect on the gluon scattering amplitudes at strong coupling and large <i>N</i> for the 𝒩 = 4 supersymmetric Yang-Mills theory. According to Alday and Maldacena, the gluon scattering amplitude corresponds holographically to the area of a worldsheet minimal surface in the T-dual AdS<sub>5</sub> geometry. The Yang-Mills instanton introduces an instanton D-brane in the geometry, with which a particular boundary condition for the minimal surface is imposed. We show that the minimal surface undergoes a topology change depending on the size and the gluon momenta, and that the instanton amplitude exhibits a characteristic dependence on gluon momenta. More specifically, we find that when the fixed instanton size modulus <i>ρ</i> is larger than <span>(mathcal{O}left(sqrt{lambda }/Eright))</span> where <i>λ</i> is the ’t Hooft coupling and <i>E</i> is the typical momentum of the scattering gluon, due to the topology change of the worldsheet minimal surface, the instanton amplitude is exponentially enhanced as exp(<i>ρE</i>).</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 9","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP09(2026)025.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148871522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Erratum: Electromagnetic leptogenesis — an EFT-consistent analysis via Wilson coefficients. Part I. Low-scale, non-resonant regime","authors":"Rin Takada","doi":"10.1007/JHEP09(2026)036","DOIUrl":"10.1007/JHEP09(2026)036","url":null,"abstract":"","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 9","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP09(2026)036.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148871523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"QFT realization of non-unitary 𝔰𝔩(2, ℂ) WRT invariants and their galois conjugations","authors":"Kibok Jeong, Soochang Lee","doi":"10.1007/JHEP09(2026)031","DOIUrl":"10.1007/JHEP09(2026)031","url":null,"abstract":"<p>We propose a field theoretic realization of the non-unitary 𝔰𝔩(2, ℂ) Witten-Reshetikhin-Turaev Topological Quantum Field Theory (WRT TQFT). The WRT TQFT at the principal root of unity is unitary. It is known to be realized by SU(2) Chern-Simons theory. However, the WRT TQFT at a non-principal root of unity is non-unitary. Its field theoretic realization has remained unclear. We propose that such a non-unitary TQFT arises from the topological twist of the 3-dimensional 𝒩 = 4 rank-0 theory constructed by joining multiple <i>T</i>[SU(2)] theories. We construct its modular matrices and identify them with those of the WRT TQFT, establishing a concrete relation between the parameters, up to a decoupled unitary TQFT.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 9","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP09(2026)031.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148871537","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Deconstructed weak isospin from a symplectic symmetry","authors":"Alastair Gosnay, David J. Miller","doi":"10.1007/JHEP09(2026)012","DOIUrl":"10.1007/JHEP09(2026)012","url":null,"abstract":"<p>Understanding the origin of flavour hierarchies in the Standard Model remains an open problem, motivating extensions with non-trivial flavour symmetries. We unify deconstructed weak isospin <span>( mathrm{SU}{(2)}_{mathrm{L}}^3 )</span> into an Sp(6)<sub>L</sub> symmetry at a high scale <i>v</i><sub><i>S</i></sub>. The three generations of Standard Model (SM) left-handed doublets are unified into a single fundamental representation of Sp(6)<sub>L</sub>. In addition to two BSM triplets from the breaking of <span>( mathrm{SU}{(2)}_{mathrm{L}}^3 )</span>, the enlarged symmetry predicts six additional gauge bosons below the unification scale: three SU(2)<sub>L</sub> triplets and three singlets, which induce flavour transitions in both the quark and lepton sectors, even in the presence of mass-gauge alignment. We derive updated bounds on the intermediate breaking scale <i>v</i><sub>12</sub> of <span>( mathrm{SU}{(2)}_{mathrm{L}}^3 )</span> in the presence of the unification scale <i>v</i><sub><i>S</i></sub>, mapping exclusions in the (<i>v</i><sub>12</sub><i>, r</i>) parameter space with <span>( r={v}_S^2/{v}_{12}^2 )</span>. The most stringent constraints arise from precision flavour observables involving first- and second-generation transitions, including neutral meson mixing <span>( left({K}^0-{overline{K}}^0,{D}^0-{overline{D}}^0right) )</span>, <i>μ</i> → 3<i>e</i> and <i>μ</i> → <i>e</i> conversion in nuclei. These measurements probe scales well beyond direct collider reach and imply <i>v</i><sub>12</sub> ≳ 550 TeV for small <i>r</i> ≈ 1, while for <i>r</i> ≳ 100 the bound relaxes to <i>v</i><sub>12</sub> ≳ 150 TeV, recovering the limits of the <span>( mathrm{SU}{(2)}_{mathrm{L}}^3 )</span> model. Additionally we include projections from Mu3e and COMET-I and -II experiments which show promising further reach into the parameter space.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 9","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP09(2026)012.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148871645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}