Nuclear Physics BPub Date : 2025-04-24DOI: 10.1016/j.nuclphysb.2025.116917
Sam Bennett , Amihay Hanany , Guhesh Kumaran , Chunhao Li , Deshuo Liu , Marcus Sperling
{"title":"Quiver subtraction on the Higgs branch","authors":"Sam Bennett , Amihay Hanany , Guhesh Kumaran , Chunhao Li , Deshuo Liu , Marcus Sperling","doi":"10.1016/j.nuclphysb.2025.116917","DOIUrl":"10.1016/j.nuclphysb.2025.116917","url":null,"abstract":"<div><div>This paper classifies all Higgs branch Higgsing patterns for simply-laced unitary quiver gauge theories with eight supercharges (including multiple loops) and introduces a Higgs branch subtraction algorithm. All possible minimal transitions are given, identifying differences between slices that emerge on the Higgs and Coulomb branches. In particular, the algorithm is sensitive to global information including monodromies and Namikawa-Weyl groups. Guided by symplectic duality, the algorithm further determines the global symmetry on the Coulomb branch, and verifies the exclusion of <em>C</em> type or <span><math><msub><mrow><mi>F</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span> global symmetry for (simply-laced) unitary quiver gauge theories. The Higgs branches of some unitary quivers are verified to give slices in the nilpotent cones of exceptional simple Lie algebras.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1016 ","pages":"Article 116917"},"PeriodicalIF":2.5,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
{"title":"Thermodynamic behavior and phase transitions of black holes with a cloud of strings and perfect fluid dark matter","authors":"Dharm Veer Singh , Sudhaker Upadhyay , Yerlan Myrzakulov , Kairat Myrzakulov , Bhupendra Singh , Manish Kumar","doi":"10.1016/j.nuclphysb.2025.116915","DOIUrl":"10.1016/j.nuclphysb.2025.116915","url":null,"abstract":"<div><div>This paper presents an exact black hole solution within a cloud of strings (CoS) and a perfect fluid dark matter (PFDM) field. The derived black hole solution interpolates between the AdS-charged Letelier black hole in the absence of the PFDM field and the AdS Reissner-Nordström black hole in the limiting case of the PFDM and CoS parameters. The thermodynamic properties of the black hole, including temperature, entropy, heat, and free energy, are modified in the presence of the PFDM field and CoS parameter. Furthermore, we investigate the black hole's critical points and phase structure in an extended phase space. We find that the critical temperature and pressure decrease with the CoS parameter but increase with the PFDM field. The Gibbs free energy versus temperature plot reveals a swallow-tail behavior, indicating a first-order phase transition, which terminates at a second-order phase transition.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1016 ","pages":"Article 116915"},"PeriodicalIF":2.5,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143867982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2025-04-23DOI: 10.1016/j.nuclphysb.2025.116918
Semra Gurtas Dogan , Omar Mustafa , Abdullah Guvendi
{"title":"Charged fermions and vector bosons in magnetic fields within a spacetime generated by a spinning point source","authors":"Semra Gurtas Dogan , Omar Mustafa , Abdullah Guvendi","doi":"10.1016/j.nuclphysb.2025.116918","DOIUrl":"10.1016/j.nuclphysb.2025.116918","url":null,"abstract":"<div><div>We investigate the relativistic dynamics of charged fermions and vector bosons in magnetic fields within a <span><math><mn>2</mn><mo>+</mo><mn>1</mn></math></span>-dimensional spacetime background generated by a spinning point source. We derive the equations for the charged Dirac oscillator (DO) and charged vector bosons, aiming to find analytical solutions to the resulting wave equations. We identify solutions for both systems by analytically examining the allowed wave equations and analyzing the impact of each parameter on the resulting relativistic energy eigenvalues. Our observations reveal that the spin parameter (<em>ϖ</em>) of the point source can cause symmetry breaking in particle-antiparticle energy states around the Dirac point, an effect that disappears when <span><math><mi>ϖ</mi><mo>=</mo><mn>0</mn></math></span>. However, for charged vector bosons in such a spinning spacetime, the asymmetry between particle-antiparticle states persists even when <span><math><mi>ϖ</mi><mo>=</mo><mn>0</mn></math></span>.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1016 ","pages":"Article 116918"},"PeriodicalIF":2.5,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143867983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2025-04-23DOI: 10.1016/j.nuclphysb.2025.116916
Y. Myrzakulov , O. Donmez , M. Koussour , S. Muminov , A. Dauletov , J. Rayimbaev
{"title":"Thermodynamic constraints and observational validation of the deceleration parameter","authors":"Y. Myrzakulov , O. Donmez , M. Koussour , S. Muminov , A. Dauletov , J. Rayimbaev","doi":"10.1016/j.nuclphysb.2025.116916","DOIUrl":"10.1016/j.nuclphysb.2025.116916","url":null,"abstract":"<div><div>In this work, we propose a two-parameter parametrization for the deceleration parameter <span><math><mi>q</mi><mo>(</mo><mi>z</mi><mo>)</mo></math></span> grounded in thermodynamic constraints and applied it to explore the evolution of the universe. The second law of thermodynamics imposes essential conditions to ensure that the system approaches equilibrium in late times, requiring <span><math><mi>q</mi><mo>(</mo><mi>z</mi><mo>)</mo><mo>≥</mo><mo>−</mo><mn>1</mn></math></span> and <span><math><mfrac><mrow><mi>d</mi><mi>q</mi></mrow><mrow><mi>d</mi><mi>z</mi></mrow></mfrac><mo>></mo><mn>0</mn></math></span> as <span><math><mi>z</mi><mo>→</mo><mo>−</mo><mn>1</mn></math></span>. These constraints ensure that entropy does not decrease, stabilize the system, and facilitate a smooth transition from deceleration to acceleration, consistent with the observed cosmic expansion. Furthermore, the model avoids the phantom regime (<span><math><mi>ω</mi><mo><</mo><mo>−</mo><mn>1</mn></math></span>), preventing catastrophic future scenarios such as the Big Rip. Using the combined CC, Pantheon, SH0ES, and BAO datasets, we constrain the model parameters and compare the results with the standard ΛCDM model. Our findings indicate <span><math><msub><mrow><mi>H</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>=</mo><mn>70.82</mn><mo>±</mo><mn>0.88</mn></math></span>, with a transition redshift of <span><math><msub><mrow><mi>z</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>=</mo><mn>0.597</mn><mo>±</mo><mn>0.214</mn></math></span>, suggesting an earlier onset of acceleration compared to ΛCDM. The present deceleration parameter, <span><math><msub><mrow><mi>q</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>=</mo><mo>−</mo><mn>0.364</mn><mo>±</mo><mn>0.032</mn></math></span>, implies a weaker acceleration than in ΛCDM. Moreover, we analyze the evolution of total energy density, pressure, and the effective equation of state parameter, confirming a quintessence-like behavior with <span><math><msub><mrow><mi>ω</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>=</mo><mo>−</mo><mn>0.570</mn><mo>±</mo><mn>0.056</mn></math></span>. Our results provide a thermodynamically consistent framework for cosmic expansion, supporting a dark-energy-driven acceleration.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1016 ","pages":"Article 116916"},"PeriodicalIF":2.5,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143867984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2025-04-23DOI: 10.1016/j.nuclphysb.2025.116912
Mustapha Lamaaoune
{"title":"Running of spectral index and inflationary models of kinetic coupling-corrected Einstein-Gauss-Bonnet gravity","authors":"Mustapha Lamaaoune","doi":"10.1016/j.nuclphysb.2025.116912","DOIUrl":"10.1016/j.nuclphysb.2025.116912","url":null,"abstract":"<div><div>In this work, we investigate the running of the spectral index in inflationary models by analyzing the scalar spectral index for generic parameters within non-minimal kinetic coupling-corrected Gauss-Bonnet gravity. Assuming the slow-roll approximation, we calculate and examine key cosmological quantities, explore various forms of the coupling function and scalar potential, and compare the results with observational data. Specifically, we consider three scenarios, first is a small-field inflation potential coupled to a linear coupling function, a power-law potential with a small-field coupling function, and a mutated hilltop inflation model with a linear coupling function. For each scenario, we numerically plot the spectral index <span><math><msub><mrow><mi>n</mi></mrow><mrow><mi>s</mi></mrow></msub></math></span>, the running of the scalar spectral index <span><math><mfrac><mrow><mi>d</mi><msub><mrow><mi>n</mi></mrow><mrow><mi>s</mi></mrow></msub></mrow><mrow><mi>d</mi><mi>ln</mi><mo></mo><mi>k</mi></mrow></mfrac></math></span>, and the tensor-to-scalar ratio <em>r</em>, and compare the results with current cosmological data. We find that for different values of the parameters <em>κ</em>, <span><math><msub><mrow><mi>ξ</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>, and specific ranges of <em>α</em> and <span><math><msub><mrow><mi>V</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>, our model exhibits strong compatibility with Planck 2018 TT, TE, EE + lowE + lensing + BK14 + BAO joint data at 68% and 95% confidence levels, as well as BICEP/Keck data, for the <span><math><msub><mrow><mi>n</mi></mrow><mrow><mi>s</mi></mrow></msub><mo>−</mo><mi>r</mi></math></span> and <span><math><msub><mrow><mi>n</mi></mrow><mrow><mi>s</mi></mrow></msub><mo>−</mo><msub><mrow><mi>n</mi></mrow><mrow><mi>T</mi></mrow></msub></math></span> curves. Additionally, we briefly examine the running of the index <span><math><msub><mrow><mi>α</mi></mrow><mrow><mi>s</mi></mrow></msub></math></span> in the proposed class of inflationary models, finding that the results are in perfect agreement with Planck 2018 TT, TE, EE + lowE + lensing + BK14 data, as well as Planck 2018 95% TT + lowE + lensing + BK15 + BAO data.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1016 ","pages":"Article 116912"},"PeriodicalIF":2.5,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143867877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2025-04-23DOI: 10.1016/j.nuclphysb.2025.116920
Semra Gurtas Dogan , Omar Mustafa , Abdullah Guvendi
{"title":"Ray and wave optics in Bonnor-Melvin domain walls: Photon rings","authors":"Semra Gurtas Dogan , Omar Mustafa , Abdullah Guvendi","doi":"10.1016/j.nuclphysb.2025.116920","DOIUrl":"10.1016/j.nuclphysb.2025.116920","url":null,"abstract":"<div><div>In this study, we examine the propagation of light rays and wave dynamics within the <span><math><mo>(</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>)</mo></math></span>-dimensional analogue of the Bonnor-Melvin magnetic (BMM) spacetime, which incorporates a nonzero cosmological constant. The BMM spacetime, characterized by cylindrical symmetry, maintains Lorentz invariance along the axial direction, facilitating a systematic investigation of ray trajectories and wave behavior in the corresponding <span><math><mo>(</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>)</mo></math></span>-dimensional magnetic background. This three-dimensional spacetime can be derived as a <span><math><mo>(</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>+</mo><mn>0</mn><mo>)</mo></math></span>-brane solution within the context of gravity coupled to nonlinear electrodynamics. Initially, we analyze general ray trajectories and derive exact solutions for the angular motion of light rays. Our findings reveal that light is confined to circular paths within a specific radial region, indicating the formation of light rings governed by the magnetic background. Extending this analysis to wave dynamics, we solve the Helmholtz equation analytically, identifying discrete wave modes with quantized frequencies. The background gravitational field induces oscillatory wave behavior, resulting in well-defined photonic states. These states are notably ring-shaped and rotate, resembling magnetic vortices.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1016 ","pages":"Article 116920"},"PeriodicalIF":2.5,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143867981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2025-04-22DOI: 10.1016/j.nuclphysb.2025.116914
Debasmita Mohanty, Moreshwar Tayde, P.K. Sahoo
{"title":"Non-commutative gravastar configuration in f(R,Lm,T) gravity","authors":"Debasmita Mohanty, Moreshwar Tayde, P.K. Sahoo","doi":"10.1016/j.nuclphysb.2025.116914","DOIUrl":"10.1016/j.nuclphysb.2025.116914","url":null,"abstract":"<div><div>This study explores the possibility of gravastar solutions in the context of <span><math><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><msub><mrow><mi>L</mi></mrow><mrow><mi>m</mi></mrow></msub><mo>,</mo><mi>T</mi><mo>)</mo></math></span> gravity, a variation that incorporates the Ricci scalar <em>R</em>, trace of the energy-momentum tensor <em>T</em> and the matter Lagrangian <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>m</mi></mrow></msub></math></span> with particular coupling strengths <em>α</em> and <em>β</em>. Also, we explore the interior of a gravastar within a framework motivated by non-commutative geometry, providing a physical justification for this choice. The thin shell is modeled as stiff matter, and two distinct exterior space-times, namely Reissner-Nordstrom and Bardeen metrics, are employed to construct the gravastar model. We examine the physical characteristics of these models, including proper length, entropy, energy, and the equation of state. We analyze the thin shell's effective pressure, energy density, and potential by utilizing the Israel junction conditions. Additionally, we discuss the stability of the thin shell and investigate the deflection angle it causes, which could be probed with future radio telescopes such as the Event Horizon Telescope (EHT). Finally, the surface redshift of the gravastar is evaluated, highlighting its relevance for potential observational detection.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1016 ","pages":"Article 116914"},"PeriodicalIF":2.5,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143867875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2025-04-18DOI: 10.1016/j.nuclphysb.2025.116906
Hamza Tariq , Usman Zafar , Shahid Chaudhary , Kazuharu Bamba , Abdul Jawad , Sanjar Shaymatov
{"title":"Exploring the effects of generalized entropy onto Bardeen black hole surrounded by cloud of strings","authors":"Hamza Tariq , Usman Zafar , Shahid Chaudhary , Kazuharu Bamba , Abdul Jawad , Sanjar Shaymatov","doi":"10.1016/j.nuclphysb.2025.116906","DOIUrl":"10.1016/j.nuclphysb.2025.116906","url":null,"abstract":"<div><div>This work explores the thermodynamic characteristics and geothermodynamics of a Bardeen black hole (BH) that interacts with a string cloud and is minimally connected to nonlinear electrodynamics. To avoid the singularities throughout the cosmic evolution, we consider an entropy function which comprises five parameters. In addition, by employing this entropy function for the specific range of parameters, we obtain the representations of BH entropy based on the holographic principle. Moreover, we employ this entropy function to investigate its impact on the thermodynamics of the BH by studying various thermodynamic properties like mass, temperature, heat capacity, and Gibbs free energy for numerous scalar charge and string cloud values. To support our investigation, we use various geothermodynamics formalisms to evaluate the stable behavior and identify different physical scenarios. Furthermore, in this analysis, we observe that only one entropy formalism provides us with better results regarding the thermodynamic behavior of the BH. Moreover, it is shown that one of the entropy models provides a thermodynamic geometric behavior compared to the other entropy models.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1016 ","pages":"Article 116906"},"PeriodicalIF":2.5,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143864169","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2025-04-16DOI: 10.1016/j.nuclphysb.2025.116913
Harvendra Singh
{"title":"Kaluza-Klein discreteness of the entropy: Symmetrical bath and CFT subsystem","authors":"Harvendra Singh","doi":"10.1016/j.nuclphysb.2025.116913","DOIUrl":"10.1016/j.nuclphysb.2025.116913","url":null,"abstract":"<div><div>We explore the entanglement entropy of CFT systems in contact with large bath systems, such that the complete system lives on the boundary of <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mi>d</mi><mo>+</mo><mn>1</mn></mrow></msub></math></span> spacetime. We are interested in finding the HEE of a bath (system-B) in contact with a central subsystem-A. We assume that the net size of systems A and B together remains fixed while allowing variation in individual sizes. This assumption is simply guided by the conservation laws. It is found that for large bath size the island entropy term is important. However other subleading (icebergs) terms do also contribute to bath entropy. The contributions are generally not separable from each other and all such contributions add together to give rise a fixed quantity. Further when accounted properly all such contributions will form part of higher entropy branch for the bath entropy. Nevertheless the HEE of bath system should be subjected to minimality principle. The quantum minimality principle <span><math><msub><mrow><mi>S</mi></mrow><mrow><mi>q</mi><mi>u</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi>u</mi><mi>m</mi></mrow></msub><mo>[</mo><mi>B</mi><mo>]</mo><mo>=</mo><msub><mrow><mo>{</mo><mi>S</mi><mo>[</mo><mi>A</mi><mo>]</mo><mo>,</mo><msub><mrow><mi>S</mi></mrow><mrow><mi>t</mi><mi>o</mi><mi>t</mi><mi>a</mi><mi>l</mi></mrow></msub><mo>+</mo><mi>S</mi><mo>[</mo><mi>A</mi><mo>]</mo><mo>}</mo></mrow><mrow><mi>m</mi><mi>i</mi><mi>n</mi></mrow></msub></math></span>, is local in nature and gives rise to the Page curve. It is also shown that the changes in bath entropy do capture Kaluza-Klein discreteness. The minimality principle would be applicable for finite temperature systems as well.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1015 ","pages":"Article 116913"},"PeriodicalIF":2.5,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143854750","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2025-04-15DOI: 10.1016/j.nuclphysb.2025.116911
Shadi Ali Ahmad , Wissam Chemissany , Marc S. Klinger , Robert G. Leigh
{"title":"Relational quantum geometry","authors":"Shadi Ali Ahmad , Wissam Chemissany , Marc S. Klinger , Robert G. Leigh","doi":"10.1016/j.nuclphysb.2025.116911","DOIUrl":"10.1016/j.nuclphysb.2025.116911","url":null,"abstract":"<div><div>A common feature of the extended phase space of gauge theory, the crossed product of quantum theory, and quantum reference frames (QRFs) is the adjoining of degrees of freedom followed by a constraining procedure for the resulting total system. Building on previous work, we identify non-commutative or quantum geometry as a mathematical framework which unifies these three objects. We first provide a rigorous account of the extended phase space, and demonstrate that it can be regarded as a classical principal bundle with a Poisson manifold base. We then show that the crossed product is a trivial quantum principal bundle which both substantiates a conjecture on the quantization of the extended phase space and facilitates a relational interpretation. Combining several crossed products with possibly distinct structure groups into a single object, we arrive at a novel definition of a quantum orbifold. We demonstrate that change of frame maps within the quantum orbifold corresponds to quantum gauge transformations, which are QRF preserving maps between crossed product algebras. Finally, we conclude that the quantum orbifold is equivalent to the G-framed algebra proposed in prior work, thereby placing systems containing multiple QRFs squarely in the context of quantum geometry.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1015 ","pages":"Article 116911"},"PeriodicalIF":2.5,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}