T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations from AdS2 to dS2
Abstract We revisit the formalism of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations for quantum theories that are holographically dual to two-dimensional dilaton-gravity theories with Dirichlet boundary conditions. To better understand the microscopics of de Sitter space, we focus on defor...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)120 |
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| author | Sergio E. Aguilar-Gutierrez Andrew Svesko Manus R. Visser |
| author_facet | Sergio E. Aguilar-Gutierrez Andrew Svesko Manus R. Visser |
| author_sort | Sergio E. Aguilar-Gutierrez |
| collection | DOAJ |
| description | Abstract We revisit the formalism of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations for quantum theories that are holographically dual to two-dimensional dilaton-gravity theories with Dirichlet boundary conditions. To better understand the microscopics of de Sitter space, we focus on deformations for which the dual bulk geometry flows from Anti-de Sitter to de Sitter space. We explore two distinct ways to achieve this: either through so-called centaur geometries that interpolate between AdS2 and dS2, or by a spherical dimensional reduction of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ + Λ2 theories that were proposed to give a microscopic interpretation of three-dimensional de Sitter entropy. We derive the microscopic energy spectrum, heat capacities, and deformed Cardy expressions for the thermodynamic entropy in the canonical and microcanonical ensembles for these two setups. In both setups a signature of the change from AdS to dS is that the heat capacity at a fixed deformation parameter of the boundary system changes sign, indicating the existence of a thermodynamically unstable de Sitter patch. Our findings provide important consistency conditions for holographic models of the dS2 static patch. |
| format | Article |
| id | doaj-art-27ab430d8ab94891824d694b3ef78b20 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-27ab430d8ab94891824d694b3ef78b202025-02-09T12:07:53ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114310.1007/JHEP01(2025)120T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations from AdS2 to dS2Sergio E. Aguilar-Gutierrez0Andrew Svesko1Manus R. Visser2Okinawa Institute of Science and Technology Graduate UniversityDepartment of Mathematics, King’s College LondonInstitute for Mathematics, Astrophysics and Particle Physics, and Radboud Center for Natural Philosophy, Radboud UniversityAbstract We revisit the formalism of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations for quantum theories that are holographically dual to two-dimensional dilaton-gravity theories with Dirichlet boundary conditions. To better understand the microscopics of de Sitter space, we focus on deformations for which the dual bulk geometry flows from Anti-de Sitter to de Sitter space. We explore two distinct ways to achieve this: either through so-called centaur geometries that interpolate between AdS2 and dS2, or by a spherical dimensional reduction of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ + Λ2 theories that were proposed to give a microscopic interpretation of three-dimensional de Sitter entropy. We derive the microscopic energy spectrum, heat capacities, and deformed Cardy expressions for the thermodynamic entropy in the canonical and microcanonical ensembles for these two setups. In both setups a signature of the change from AdS to dS is that the heat capacity at a fixed deformation parameter of the boundary system changes sign, indicating the existence of a thermodynamically unstable de Sitter patch. Our findings provide important consistency conditions for holographic models of the dS2 static patch.https://doi.org/10.1007/JHEP01(2025)1202D Gravityde Sitter spaceAdS-CFT CorrespondenceGauge-Gravity Correspondence |
| spellingShingle | Sergio E. Aguilar-Gutierrez Andrew Svesko Manus R. Visser T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations from AdS2 to dS2 Journal of High Energy Physics 2D Gravity de Sitter space AdS-CFT Correspondence Gauge-Gravity Correspondence |
| title | T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations from AdS2 to dS2 |
| title_full | T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations from AdS2 to dS2 |
| title_fullStr | T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations from AdS2 to dS2 |
| title_full_unstemmed | T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations from AdS2 to dS2 |
| title_short | T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations from AdS2 to dS2 |
| title_sort | t t ¯ textrm t overline textrm t deformations from ads2 to ds2 |
| topic | 2D Gravity de Sitter space AdS-CFT Correspondence Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP01(2025)120 |
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