Nuclear Physics BPub Date : 2025-08-20DOI: 10.1016/j.nuclphysb.2025.117080
H. Aratyn , C.P. Constantinidis , J.F. Gomes , T.C. Santiago , A.H. Zimerman
{"title":"Generalized Riemann-Hilbert-Birkhoff decomposition and a new class of higher grading integrable hierarchies","authors":"H. Aratyn , C.P. Constantinidis , J.F. Gomes , T.C. Santiago , A.H. Zimerman","doi":"10.1016/j.nuclphysb.2025.117080","DOIUrl":"10.1016/j.nuclphysb.2025.117080","url":null,"abstract":"<div><div>We propose a generalized Riemann-Hilbert-Birkhoff decomposition that expands the standard integrable hierarchy formalism in two fundamental ways: it allows for integer powers of Lax matrix components in the flow equations to be increased as compared to conventional models, and it incorporates constant non-zero vacuum (background) solutions.</div><div>Two additional parameters control these features. The first one defines the grade of a semisimple element that underpins the algebraic construction of the hierarchy, where a grade-one semi-simple element recovers known hierarchies such as mKdV and AKNS. The second parameter distinguishes between zero and non-zero constant background (vacuum) configurations.</div><div>Additionally, we introduce a third parameter associated with an ambiguity in the definition of the grade-zero component of the dressing matrices. While not affecting the decomposition itself, this parameter classifies different gauge realizations of the integrable equations (like for example, Kaup-Newell, Gerdjikov-Ivanov, Chen-Lee-Liu models).</div><div>For various values of these parameters, we construct and analyze corresponding integrable models in a unified universal manner demonstrating the broad applicability and generative power of the extended formalism.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1018 ","pages":"Article 117080"},"PeriodicalIF":2.8,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144886934","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 : 2025-08-20DOI: 10.1016/j.nuclphysb.2025.117076
Rongchao Ma
{"title":"Symmetry packaging I: Irreducible representation blocks, superselection, and packaged entanglement in quantum field theory","authors":"Rongchao Ma","doi":"10.1016/j.nuclphysb.2025.117076","DOIUrl":"10.1016/j.nuclphysb.2025.117076","url":null,"abstract":"<div><div>We introduce the concept of symmetry packaging for quantum field excitations: in a quantum field theory with a gauge group <em>G</em>, every local creation operator carries its full set of internal quantum numbers (IQNs) as a single irreducible <em>G</em>-block and forbids any partial factorization. We elevate this observation to a symmetry packaging principle, which asserts that packets of IQNs remain intact throughout all physical processes. We analyze a quantum-field excitation in six successive stages: (1) particle creation/annihilation, (2) hybridization with gauge-blind external degrees of freedom (DOFs), (3) tensor-product assembly, (4) isotypic decomposition, (5) packaged superposition/entanglement, and (6) local Gauge-Invariance constraint. We show that packaging survives every stage and culminates in a gauge-invariant physical Hilbert space. These stages unfold within a three packaging layer hierarchy (raw-Fock → isotypic → physical) with distinct packaging characters. Packaging alone reproduces familiar charge-superselection rules and, within any fixed-charge sector, admits a new class of packaged entangled states where internal and external DOFs are inseparably locked. We derive necessary and sufficient conditions for such superpositions and show that packaged irreps behave as noise-protected logical qudits. This framework unifies representation theory, superselection, and entanglement under a single mathematical roof and provides a roadmap for constructing and manipulating packaged states in any gauge theory.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1018 ","pages":"Article 117076"},"PeriodicalIF":2.8,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144893308","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 : 2025-08-19DOI: 10.1016/j.nuclphysb.2025.117083
Nicolas Crampé , Julien Gaboriaud , Satoshi Tsujimoto
{"title":"Change of basis for tridiagonal pairs of type II","authors":"Nicolas Crampé , Julien Gaboriaud , Satoshi Tsujimoto","doi":"10.1016/j.nuclphysb.2025.117083","DOIUrl":"10.1016/j.nuclphysb.2025.117083","url":null,"abstract":"<div><div>This paper is on the topic of tridiagonal pairs of type II. These involve two linear transformations <em>A</em> and <span><math><msup><mrow><mi>A</mi></mrow><mrow><mo>⋆</mo></mrow></msup></math></span>. We define two bases. In the first one, <em>A</em> acts as a diagonal matrix while <span><math><msup><mrow><mi>A</mi></mrow><mrow><mo>⋆</mo></mrow></msup></math></span> acts as a block tridiagonal matrix, and in the second one, <em>A</em> acts as a block tridiagonal matrix while <span><math><msup><mrow><mi>A</mi></mrow><mrow><mo>⋆</mo></mrow></msup></math></span> acts as a diagonal matrix. We obtain the change of basis coefficients between these two bases. The coefficients are special functions that are written as a nested product of polynomials that resemble Racah polynomials but involve shift operators in their expression.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1018 ","pages":"Article 117083"},"PeriodicalIF":2.8,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144886933","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":"Phantom BTZ black holes: Thermal properties under perturbative corrections","authors":"Kumar Sambhav Upadhyay , Sudhaker Upadhyay , Bhabani Prasad Mandal","doi":"10.1016/j.nuclphysb.2025.117078","DOIUrl":"10.1016/j.nuclphysb.2025.117078","url":null,"abstract":"<div><div>This study investigates the thermodynamics of phantom BTZ black holes by incorporating leading-order perturbative corrections arising from small statistical fluctuations around equilibrium. Starting from the phantom BTZ black holes review, we describe a modified action in three-dimensional spacetime that includes coupling with a Maxwell or phantom field. The analysis derives the corresponding field equations and obtains exact solutions for the metric and thermodynamic quantities. The corrected entropy is computed using the steepest descent method. It is expressed in terms of the leading-order entropy and Hawking temperature. Standard thermodynamic relations yield the corrected mass, Helmholtz free energy, specific heat, and Gibbs free energy. These corrections reveal significant deviations from classical results, particularly in the small black hole regime where statistical effects become prominent. Graphical analysis shows that the corrected entropy becomes negative for sufficiently small black holes, indicating potential limitations in thermodynamic stability under perturbative corrections. Furthermore, the influence of thermal fluctuations proves substantial for the small black holes and negligible for larger black holes. In this work, we have also calculated critical points and critical compressibility factor (<span><math><msub><mrow><mi>Z</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>) of the phantom BTZ black hole, treating it as a Van der Waals fluid. This work provides a comprehensive understanding of how statistical fluctuations modify the thermodynamics of phantom BTZ black holes. It underscores the necessity of including such corrections in realistic models of black hole thermodynamics in <span><math><mo>(</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>)</mo></math></span> dimensions.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1018 ","pages":"Article 117078"},"PeriodicalIF":2.8,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861206","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 : 2025-08-14DOI: 10.1016/j.nuclphysb.2025.117075
Shahid Chaudhary , Talha Anwar , Farruh Atamurotov , Ali M. Mubaraki , M.M. Alam
{"title":"Gravitational lensing and shadows of dilatonic black holes in dilaton-massive gravity","authors":"Shahid Chaudhary , Talha Anwar , Farruh Atamurotov , Ali M. Mubaraki , M.M. Alam","doi":"10.1016/j.nuclphysb.2025.117075","DOIUrl":"10.1016/j.nuclphysb.2025.117075","url":null,"abstract":"<div><div>This paper presents optical and astrophysical aspects of charged dilatonic black holes within the framework of dilaton-massive gravity, a promising extension of General Relativity motivated by low-energy string theory. By incorporating a nonminimally coupled scalar dilaton field and massive graviton terms into the Einstein-Maxwell action, we study static, spherically symmetric black hole solutions characterized by the parameters <span><math><msub><mrow><mi>c</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>, <span><math><msub><mrow><mi>c</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>, and <span><math><msub><mrow><mi>m</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>, which control the strength of scalar-gravity and massive gravity couplings. We use Gauss-Bonnet theorem to compute the weak deflection angle of light around the black hole. The results reveal that the coupling parameter <span><math><msub><mrow><mi>c</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> intensifies light bending, while more negative values of <span><math><msub><mrow><mi>c</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> and higher graviton masses <span><math><msub><mrow><mi>m</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> suppress it. Extending this analysis to realistic astrophysical settings, we introduce a cold, non-magnetized plasma environment and derive the plasma-corrected deflection angle. The presence of plasma leads to chromatic dispersion, increasing the bending of light at lower frequencies, and amplifying the influence of dilaton-massive gravity on lensing observables. Next, we examine the black hole's shadow by numerically solving for the photon sphere and evaluating the shadow radius. Our findings demonstrate that larger values of <span><math><msub><mrow><mi>c</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>m</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> decrease the shadow size due to increased spacetime curvature, whereas increasing <span><math><msub><mrow><mi>c</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> expands it by lowering the gravitational potential. These effects are visualized through shadow images in celestial coordinates, clearly illustrating how modified gravity alters the observable structure of black holes.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1018 ","pages":"Article 117075"},"PeriodicalIF":2.8,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144879893","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 : 2025-08-14DOI: 10.1016/j.nuclphysb.2025.117074
Rimi Debnath, Sanjeeda Sultana, Khandro K. Chokyi, Surajit Chattopadhyay
{"title":"Phenomenological insights into holographically reconstructed fractional action cosmology: Cosmic dynamics, thermodynamics, and statefinder diagnostics","authors":"Rimi Debnath, Sanjeeda Sultana, Khandro K. Chokyi, Surajit Chattopadhyay","doi":"10.1016/j.nuclphysb.2025.117074","DOIUrl":"10.1016/j.nuclphysb.2025.117074","url":null,"abstract":"<div><div>In this work, we use generalised infrared (IR) cutoffs as a reconstruction tool to investigate the dynamics of holographic dark energy through Fractional Action Cosmology (FAC). We construct a cosmological model that naturally takes into account important features like the universe's late-time acceleration by using fractional calculus to analyse the gravitational action. We investigate the energy conditions, thermodynamic behaviour, and equation of state (EoS) parameter in detail, with special attention to the Generalised Second Law (GSL). We discover that the model parameter <em>n</em> and the relaxation time <em>τ</em> both have important effects on cosmic evolution. According to statefinder diagnostics, the model fits the typical ΛCDM scenario quite well, but it also exhibits patterns that, in certain circumstances, resemble the behaviour of Chaplygin gas. Our findings demonstrate the FAC framework's adaptability and practicality in simulating cosmic evolution. Motivated by the Nojiri-Odintsov approach, we suggest expanding the current model to unify late-time acceleration and early-time inflation as a future direction. In order to gain a better understanding of phase transitions and to reinforce the cosmological significance of holographically reconstructed FAC, we also propose to generalize the IR cut-off to the Nojiri-Odintsov type.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1018 ","pages":"Article 117074"},"PeriodicalIF":2.8,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861243","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 : 2025-08-14DOI: 10.1016/j.nuclphysb.2025.117079
Yiliang Hu , Yabo Wu , Junwang Lu , Cheng-Yuan Zhang , Jianan Chi , Wenzhong Liu
{"title":"Numerical study of holographic entanglement entropy and subregion complexity for a p-wave superconductor in massive gravity","authors":"Yiliang Hu , Yabo Wu , Junwang Lu , Cheng-Yuan Zhang , Jianan Chi , Wenzhong Liu","doi":"10.1016/j.nuclphysb.2025.117079","DOIUrl":"10.1016/j.nuclphysb.2025.117079","url":null,"abstract":"<div><div>We invastigate numerically the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) for a p-wave superconductor with backreaction in the framework of dRGT massive gravity. We calculate the HEE and HSC as functions of subregion strip-width or temperature by following the RT formula and CV conjecture. It is shown that both the HEE and HSC exhibit a discontinuity in their slope at the critical temperature, hence the two physical quantities can be able to probe the p-wave superconducting phase transition. Both the HEE and HSC increase linearly at the large strip-widths, which is consistent with the “area law” of entanglement entropy and the definition of complexity in quantum information. We notice that the HEE in the superconducting phase is always lower than that in the normal phase. In contrast, the behavior of HSC shows a distinct and intriguing dependence on the strip-width. Through comparing the values of HEE and HSC for different massive coupling constants or backreaction, we find that increasing backreaction or introducing massive gravity term results in a notable increase in both HEE and HSC.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1018 ","pages":"Article 117079"},"PeriodicalIF":2.8,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861205","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 : 2025-08-14DOI: 10.1016/j.nuclphysb.2025.117072
Samprity Das , Surajit Chattopadhyay , Ertan Güdekli
{"title":"A compact stellar configuration via gravitation decoupling and minimal geometric deformation","authors":"Samprity Das , Surajit Chattopadhyay , Ertan Güdekli","doi":"10.1016/j.nuclphysb.2025.117072","DOIUrl":"10.1016/j.nuclphysb.2025.117072","url":null,"abstract":"<div><div>The present study reports an investigation of a minimally deformed solution from class one solution embedded into five-dimensional pseudo-Euclidean space, which is the four-dimensional space-time, through a gravitational decoupling approach. Applying the minimal geometric deformation approach, we have obtained the embedding class one solution to the field equation of the interior space-time. Furthermore, the study reported a reconstructed and deformed spherically symmetric metric by deriving a new set of solutions for the extra anisotropic source acting on the field equations. Furthermore, considering the impact of additional sources, the effective density and pressure in tangential and radial directions have been reconstructed in this study. Finally, the arbitrary constraints and required parameters have been evaluated for some realistic compact objects by applying some matching conditions. Alongside accessing the effective density and effective pressure, a causality analysis was conducted to reveal that the model is stable under the purview of the additional source. The study has observed that the stability and equilibrium of the system attain their maximum value around the center and maintain a positive level throughout the core of the star objects as a result of an increase in the anisotropic component. The mass-radius relationship and gravitational redshift have been assessed and confirm that the chosen compact objects are unique types of neutron stars and ultra compact objects for our model, and moment of inertia has been analyzed in this study.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1018 ","pages":"Article 117072"},"PeriodicalIF":2.8,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861242","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":"Frolov black hole surrounded by quintessence - I: Thermodynamics, geodesics and shadows","authors":"Mrinnoy M. Gohain , Kalyan Bhuyan , Rajnandini Borgohain , Tonmoyee Gogoi , Kakoli Bhuyan , Prabwal Phukon","doi":"10.1016/j.nuclphysb.2025.117073","DOIUrl":"10.1016/j.nuclphysb.2025.117073","url":null,"abstract":"<div><div>The Frolov black hole (BH) is a charged extension of the Hayward BH, having regularity at the central point <span><math><mi>r</mi><mo>=</mo><mn>0</mn></math></span> and an asymptotically Schwarzschild form for large values of <em>r</em>. Such a BH is parameterized by a length scale parameter, <span><math><msub><mrow><mi>α</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>. In this paper, we analyze the thermodynamic properties, null and timelike geodesics, and shadows of a Frolov BH immersed in a quintessence field. Our results indicate that the smaller BH is locally thermodynamically stable yet globally unstable at all horizon radii. Neither the quintessence parameter nor the other model parameters like the charge <em>q</em> and length scale parameter <span><math><msub><mrow><mi>α</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> change this global instability. We extend the study of the null and timelike geodesics to the vicinity of the BH by analyzing how the geodesic motion depends on the model parameters. Finally, we analyze the shadow of the BH system and find that the shadow radii are sensitively dependent on model parameters. In contrast, the influence of the quintessence parameter itself on the size of the shadow is found to be rather weak.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1018 ","pages":"Article 117073"},"PeriodicalIF":2.8,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861204","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 : 2025-08-13DOI: 10.1016/j.nuclphysb.2025.117077
Dailiang Ma, Tianxu Huo, Chengzhou Liu
{"title":"Thermodynamic criticality and topology of the quantum-corrected RN-AdS black hole surrounded by quintessence","authors":"Dailiang Ma, Tianxu Huo, Chengzhou Liu","doi":"10.1016/j.nuclphysb.2025.117077","DOIUrl":"10.1016/j.nuclphysb.2025.117077","url":null,"abstract":"<div><div>This paper studies the thermodynamics properties of the quantum fluctuations corrected Reissner-Nordström-Anti-de Sitter (RN-AdS) black hole surrounded by quintessence. We first investigate the basic thermodynamic quantities and the Smarr formula by treating the cosmological constant, quintessence, and quantum fluctuations parameter as thermodynamic variables in the extended phase space. The Smarr formula is given and the obtained entropy is proportional to the horizon area. Then, the thermodynamic criticality and topology are presented, and the effects of quintessence and quantum fluctuations are analyzed. The results show that, below the critical temperature, the isotherms split into stable and unstable branches. And, the quantum fluctuations can alter the global topological structure, whereas quintessence dark energy does not affect the overall topology.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1018 ","pages":"Article 117077"},"PeriodicalIF":2.8,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861119","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}