Fortschritte Der Physik-Progress of Physics最新文献

{"title":"Testing Curvature-Matter Coupling Gravity via Swampland Conjectures","authors":"C. S. Varsha, L. Sudharani, N. S. Kavya, V. Venkatesha","doi":"10.1002/prop.202400160","DOIUrl":"https://doi.org/10.1002/prop.202400160","url":null,"abstract":"<p>The study of the compatibility of curvature-matter coupling gravity theory within the framework of swampland conjectures is explored in this manuscript. The de-sitter swampland conjecture is considered in relation to the inflationary solution generated by the curvature-matter coupling gravity. The slow-roll conditions are derived for the specific case of <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>f</mi>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>R</mi>\u0000 <mo>,</mo>\u0000 <msub>\u0000 <mi>L</mi>\u0000 <mi>m</mi>\u0000 </msub>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <mo>=</mo>\u0000 <mfrac>\u0000 <mi>R</mi>\u0000 <mn>2</mn>\u0000 </mfrac>\u0000 <mo>+</mo>\u0000 <mi>α</mi>\u0000 <msup>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <msub>\u0000 <mi>L</mi>\u0000 <mi>m</mi>\u0000 </msub>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <mi>n</mi>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$f(mathcal {R},mathcal {L}_m)=frac{mathcal {R}}{2}+alpha (mathcal {L}_m)^n$</annotation>\u0000 </semantics></math> model. The results show that the swampland conjectures are at odds with the slow-roll condition for curvature-matter coupling gravity theory. Therefore, it is concluded that the swampland conjectures and the curvature-matter coupling gravity, Specifically, <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>f</mi>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>R</mi>\u0000 <mo>,</mo>\u0000 <msub>\u0000 <mi>L</mi>\u0000 <mi>m</mi>\u0000 </msub>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <mo>=</mo>\u0000 <mfrac>\u0000 <mi>R</mi>\u0000 <mn>2</mn>\u0000 </mfrac>\u0000 <mo>+</mo>\u0000 <mi>α</mi>\u0000 <msup>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <msub>\u0000 <mi>L</mi>\u0000 <mi>m</mi>\u0000 </msub>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <mi>n</mi>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$f(mathcal {R},mathcal {L}_m)=frac{mathcal {R}}{2}+alpha (mathcal {L}_m)^n$</annotation>\u0000 </semantics></math> model appear to be inconsistent with each other within the context of an inflationary profile of curvature-matter coupling gravity th","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"73 5","pages":""},"PeriodicalIF":5.6,"publicationDate":"2025-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143925959","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":"Overtones' Outburst and Hawking Evaporation of Kazakov–Solodukhin Quantum Corrected Black Hole","authors":"Sergey Bolokhov,&nbsp;Kirill Bronnikov,&nbsp;Roman Konoplya","doi":"10.1002/prop.202400187","DOIUrl":"https://doi.org/10.1002/prop.202400187","url":null,"abstract":"<p>The Kazakov–Solodukhin black hole (BH) metric represents a spherically symmetric deformation of the Schwarzschild solution due to quantum-gravity corrections. Assuming the absence of nonspherical deformations of the metric, this problem was solved nonperturbatively. In this study, the intensity of Hawking radiation in the background of such quantum-corrected BHs and the behavior of their quasinormal modes (QNM) are investigated. The findings indicate that while the geometry and such classical characteristics as the fundamental QNM frequencies or the shadow radius are only slightly altered, the Hawking radiation and the frequencies of QNM overtones of sufficiently small BHs change much more significantly. This Hawking radiation enhancement arises due to much larger grey-body factors, while the Hawking temperature remains unaffected. The effect becomes significant at the latest stage of BH evaporation.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"73 5","pages":""},"PeriodicalIF":5.6,"publicationDate":"2025-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143925960","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":"Dirac Operators on Configuration Spaces: Fermions with Half-integer Spin, Real Structure, and Yang–Mills Quantum Field Theory","authors":"Johannes Aastrup,&nbsp;Jesper Møller Grimstrup","doi":"10.1002/prop.202500003","DOIUrl":"https://doi.org/10.1002/prop.202500003","url":null,"abstract":"<p>In this paper, the development of a spectral triple-like construction on a configuration space of gauge connections is continued. It has previously been shown that key elements of bosonic and fermionic quantum field theory emerge from such a geometrical framework. In this paper, a central problem concerning the inclusion of fermions with half-integer spin into this framework is solved. The tangent space of the configuration space is mapped into a similar space based on spinors, and this map is used to construct a Dirac operator on the configuration space. A real structure acting in a Hilbert space over the configuration space is also constructed. Finally, it is shown that the self-dual and anti-self-dual sectors of the Hamiltonian of a nonperturbative quantum Yang-Mills theory emerge from a unitary transformation of a Dirac equation on a configuration space of gauge fields. The dual and anti-dual sectors are shown to emerge in a two-by-two matrix structure.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"73 5","pages":""},"PeriodicalIF":5.6,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143925913","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":"Issue Information: Fortschritte der Physik 1–2 / 2025","authors":"","doi":"10.1002/prop.202502000","DOIUrl":"https://doi.org/10.1002/prop.202502000","url":null,"abstract":"","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"73 1-2","pages":""},"PeriodicalIF":5.6,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/prop.202502000","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143120479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Charged Gravastar Solutions in the Finch-Skea Framework with \u0000 \u0000 \u0000 f\u0000 (\u0000 Q\u0000 )\u0000 \u0000 $f(mathbb {Q})$\u0000 Gravity","authors":"Muhammad Sharif,&nbsp;Madiha Ajmal","doi":"10.1002/prop.202400225","DOIUrl":"https://doi.org/10.1002/prop.202400225","url":null,"abstract":"<p>In this study, the features of a charged gravastar are investigated within the framework of <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>f</mi>\u0000 <mo>(</mo>\u0000 <mi>Q</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$f(mathbb {Q})$</annotation>\u0000 </semantics></math> gravity (<span></span><math>\u0000 <semantics>\u0000 <mi>Q</mi>\u0000 <annotation>$mathbb {Q}$</annotation>\u0000 </semantics></math> represents nonmetricity) using the Finch–Skea metric. This metric is applied to both the interior and shell regions of the charged gravastar and the field equations are derived accordingly. For the exterior regions, various black holes are considered, i.e., Reissner–Nordström, Bardeen, and Hayward regular black holes. The interior and exterior layers are matched using the Israel junction conditions, which help to determine the surface energy density and surface pressure for these black holes. Some physical properties such as proper length, entropy, energy, and the equation of state parameter are examined. The stability of the developed gravastar model is discussed through the effective potential, the causality condition and adiabatic index. It is concluded that the compact gravastar structure could be a viable alternative to black holes within this framework.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"73 3","pages":""},"PeriodicalIF":5.6,"publicationDate":"2025-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143582014","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":"Fluxes of Courant Bracket Twisted at the Same Time by \u0000 \u0000 B\u0000 $B$\u0000 and \u0000 \u0000 θ\u0000 $theta$","authors":"Ljubica Davidović,&nbsp;Ilija Ivanišević,&nbsp;Branislav Sazdović","doi":"10.1002/prop.202400273","DOIUrl":"https://doi.org/10.1002/prop.202400273","url":null,"abstract":"<p>The simultaneous twisting of the Courant bracket by a 2-form <span></span><math>\u0000 <semantics>\u0000 <mi>B</mi>\u0000 <annotation>$B$</annotation>\u0000 </semantics></math> and a bi-vector <span></span><math>\u0000 <semantics>\u0000 <mi>θ</mi>\u0000 <annotation>$theta$</annotation>\u0000 </semantics></math> is investigated, with the generalized fluxes obtained in Courant algebroid relations explored. The twisted Lie bracket is defined and it is demonstrate that the generalized <span></span><math>\u0000 <semantics>\u0000 <mi>H</mi>\u0000 <annotation>$H$</annotation>\u0000 </semantics></math>-flux can be expressed as the field strength defined on this Lie algebroid. Similarly, it is shown that the <span></span><math>\u0000 <semantics>\u0000 <mi>f</mi>\u0000 <annotation>$f$</annotation>\u0000 </semantics></math>-flux is a direct consequence of simultaneous twisting, which arises in the twisted Lie bracket relations between holonomic partial derivatives. The generalized <span></span><math>\u0000 <semantics>\u0000 <mi>Q</mi>\u0000 <annotation>$Q$</annotation>\u0000 </semantics></math> flux is obtained in terms of the twisted Koszul bracket, which is identified as a quasi-Lie algebroid bracket. The action of an exterior derivative related to the twisted Koszul bracket on a bi-vector produces the generalized <span></span><math>\u0000 <semantics>\u0000 <mi>R</mi>\u0000 <annotation>$R$</annotation>\u0000 </semantics></math>-flux. It is shown that the generalized <span></span><math>\u0000 <semantics>\u0000 <mi>R</mi>\u0000 <annotation>$R$</annotation>\u0000 </semantics></math>-flux is also the twisted Schouten–Nijenhuis bracket, i.e., the natural graded bracket on multi-vectors defined with the twisted Lie bracket.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"73 4","pages":""},"PeriodicalIF":5.6,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793942","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":"A Way of Decoupling the Gravitational Bulk Field Equations of Regular Braneworld Black Holes to Suppress the Bulk Singularities","authors":"Milko Estrada,&nbsp;Tiago Mota Crispim,&nbsp;Geova Alencar","doi":"10.1002/prop.202400220","DOIUrl":"https://doi.org/10.1002/prop.202400220","url":null,"abstract":"&lt;p&gt;The authors provide a methodology for decoupling the bulk gravitational field equations of braneworld black holes (BHs) to suppress the bulk singularities. Thus, a regular braneworld BH setup is provided. To achieve this, a minimal geometric deformation is applied with respect to a coupling constant &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;α&lt;/mi&gt;\u0000 &lt;annotation&gt;$ alpha$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; to the &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;4&lt;/mn&gt;\u0000 &lt;mi&gt;D&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$4D$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; Minkowski spacetime embedded in an extra dimension. This results in a gravitational decoupling into a system &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;A&lt;/mi&gt;\u0000 &lt;annotation&gt;$ mathcal {A}$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; with equations of motion of order &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;msup&gt;\u0000 &lt;mi&gt;α&lt;/mi&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;/msup&gt;\u0000 &lt;annotation&gt;$ alpha ^0$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; and a system &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;B&lt;/mi&gt;\u0000 &lt;annotation&gt;$ mathcal {B}$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, related to the so-called Quasi–Einstein equations of order &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;α&lt;/mi&gt;\u0000 &lt;annotation&gt;$ alpha$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;. This methodology allows for the construction of a regular geometry everywhere. The necessary constraints for eliminating singularities is outlined and provide a recipe for solving the equations of motion. Both the warp factor, the scalar field, and the potential obtained are smooth and free from Dirac delta singularities. A control parameter is introduced such that, in the limit &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;b&lt;/mi&gt;\u0000 &lt;mo&gt;→&lt;/mo&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$ b rightarrow 0$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, the Randall–Sundrum setup is recovered, resulting in a transition from a thick brane to a thin brane. The asymptotic behavior of the curvature invariant &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mi&gt;lim&lt;/mi&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;y&lt;/mi&gt;\u0000 &lt;mo&gt;→&lt;/mo&gt;\u0000 &lt;mo&gt;±&lt;/mo&gt;\u0000 &lt;mi&gt;∞&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;msub&gt;\u0000 &lt;mi&gt;R&lt;/mi&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;5&lt;/mn&gt;\u0000 &lt;mi&gt;D&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mrow&gt;\u0000 ","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"73 3","pages":""},"PeriodicalIF":5.6,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581749","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":"Celestial Topology, Symmetry Theories, and Evidence for a NonSUSY D3-Brane CFT","authors":"Jonathan J. Heckman,&nbsp;Max Hübner","doi":"10.1002/prop.202400270","DOIUrl":"https://doi.org/10.1002/prop.202400270","url":null,"abstract":"<p>Symmetry Theories (SymThs) provide a flexible framework for analyzing the global categorical symmetries of a <span></span><math>\u0000 <semantics>\u0000 <mi>D</mi>\u0000 <annotation>$D$</annotation>\u0000 </semantics></math>-dimensional <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mtext>QFT</mtext>\u0000 <mi>D</mi>\u0000 </msub>\u0000 <annotation>$text{QFT}_{D}$</annotation>\u0000 </semantics></math> in terms of a <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>D</mi>\u0000 <mo>+</mo>\u0000 <mn>1</mn>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$(D+1)$</annotation>\u0000 </semantics></math>-dimensional bulk system <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mtext>SymTh</mtext>\u0000 <mrow>\u0000 <mi>D</mi>\u0000 <mo>+</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 </msub>\u0000 <annotation>$text{SymTh}_{D+1}$</annotation>\u0000 </semantics></math>. In QFTs realized via local string backgrounds, these SymThs naturally arise from dimensional reduction of the linking boundary geometry. To track possible time dependent effects we introduce a celestial generalization of the standard “boundary at infinity” of a SymTh. As an application of these considerations we revisit large <span></span><math>\u0000 <semantics>\u0000 <mi>N</mi>\u0000 <annotation>$N$</annotation>\u0000 </semantics></math> quiver gauge theories realized by spacetime filling D3-branes probing a non-supersymmetric orbifold <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mi>R</mi>\u0000 <mn>6</mn>\u0000 </msup>\u0000 <mo>/</mo>\u0000 <mi>Γ</mi>\u0000 </mrow>\u0000 <annotation>$mathbb {R}^6 / Gamma$</annotation>\u0000 </semantics></math>. Comparing the imprint of symmetry breaking on the celestial geometry at small and large ‘t Hooft coupling we find evidence for an intermediate symmetry preserving conformal fixed point.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"73 4","pages":""},"PeriodicalIF":5.6,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/prop.202400270","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Foundations of Ghost Stability","authors":"Verónica Errasti Díez,&nbsp;Jordi Gaset Rifà,&nbsp;Georgina Staudt","doi":"10.1002/prop.202400268","DOIUrl":"https://doi.org/10.1002/prop.202400268","url":null,"abstract":"<p>The authors present a new method to analytically prove global stability in ghost-ridden dynamical systems. The proposal encompasses all prior results and consequentially extends them. In particular, it is shown that stability can follow from a conserved quantity that is unbounded from below, contrary to expectation. Novel examples illustrate all of the results. The findings take root on a careful examination of the literature, here comprehensively reviewed for the first time. This work lays the mathematical basis for ulterior extensions to field theory and quantization, and it constitutes a gateway for inter-disciplinary research in dynamics and integrability.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"73 4","pages":""},"PeriodicalIF":5.6,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/prop.202400268","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Classical Integrability in the Presence of a Cosmological Constant: Analytic and Machine Learning Results","authors":"Gabriel Lopes Cardoso,&nbsp;Damián Mayorga Peña,&nbsp;Suresh Nampuri","doi":"10.1002/prop.202400267","DOIUrl":"https://doi.org/10.1002/prop.202400267","url":null,"abstract":"<p>The integrability of two-dimensional theories that are obtained by a dimensional reduction of certain four-dimensional gravitational theories describing the coupling of Maxwell fields and neutral scalar fields to gravity in the presence of a potential for the neutral scalar fields is studied. For a certain solution subspace, partial integrability is demonstrated by showing that a subset of the equations of motion in two dimensions are the compatibility conditions for a linear system. Subsequently, the integrability of these two-dimensional models is studied from a complementary one-dimensional point of view, framed in terms of Liouville integrability. In this endeavor, various machine learning techniques are employed to systematize our search for numerical Lax pair matrices for these models, as well as conserved currents expressed as functions of phase space variables.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"73 4","pages":""},"PeriodicalIF":5.6,"publicationDate":"2025-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793440","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}