Warped anti-de Sitter (WAdS)/warped conformal field theory (WCFT) correspondence is an interesting realization of non-AdS holography. It relates three-dimensional warped anti-de Sitter () spaces to a special class of two-dimensional quantum field theory with chiral scaling symmetry that acts only on right-moving modes. The latter are often called warped conformal field theories (), and their existence makes WAdS/WCFT particularly interesting as a tool to investigate a new type of two-dimensional conformal structure. Besides, WAdS/WCFT is interesting because it enables one to apply holographic techniques to the microstate counting problem of non-AdS, nonsupersymmetric black holes. Asymptotically black holes () appear as solutions of topologically massive theories, Chern-Simons theories, and many other models. Here, we explore solutions of -dimensional higher-curvature gravity, with being different internal manifolds, typically given by products of deformations of hyperbolic spaces, although we also consider warped products with time-dependent deformations. These geometries are solutions of the second order higher-curvature theory at special (critical) points of the parameter space, where the theory exhibits a sort of degeneracy. We argue that the dual (W)CFT at those points is actually trivial. In many respects, these critical points of vacua are the squashed/stretched analogs of the Chern-Simons point of Lovelock gravity.
{ "_oai": { "updated": "2022-12-30T00:30:26Z", "id": "oai:repo.scoap3.org:74809", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Ger\u00f3nimo Caselli", "affiliations": [ { "country": "Argentina", "value": "Departamento de F\u00edsica, Universidad Nacional de Rosario, Av. Pellegrini 250, Rosario, Santa Fe, Argentina" } ], "surname": "Caselli", "given_names": "Ger\u00f3nimo", "full_name": "Caselli, Ger\u00f3nimo" }, { "raw_name": "Gaston Giribet", "affiliations": [ { "country": "USA", "value": "Department of Physics, New York University. 726 Broadway, New York, New York 10003, USA" } ], "surname": "Giribet", "given_names": "Gaston", "full_name": "Giribet, Gaston" }, { "raw_name": "Andr\u00e9s Goya", "affiliations": [ { "country": "Argentina", "value": "Instituto de Astronom\u00eda y F\u00edsica del Espacio, Ciudad Universitaria, Casilla de Correo 67, Sucursal 28, 1428, Buenos Aires, Argentina" } ], "surname": "Goya", "given_names": "Andr\u00e9s", "full_name": "Goya, Andr\u00e9s" } ], "titles": [ { "source": "APS", "title": "Critical points of warped <math><mrow><mi>AdS</mi><mo>/</mo><mi>CFT</mi></mrow></math> and higher-curvature gravity" } ], "dois": [ { "value": "10.1103/PhysRevD.106.126026" } ], "publication_info": [ { "journal_volume": "106", "journal_title": "Physical Review D", "material": "article", "journal_issue": "12", "year": 2022 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2022-12-30T00:30:20.899116", "source": "APS", "method": "APS", "submission_number": "183a9b6287d911ed93fbd61508239648" }, "page_nr": [ 11 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2022" } ], "control_number": "74809", "record_creation_date": "2022-12-29T16:30:05.961483", "_files": [ { "checksum": "md5:5d718ac4d0412cf9d00e592c602a1150", "filetype": "pdf", "bucket": "062375e6-9f49-492d-ace2-b72c85eee156", "version_id": "941923c3-1468-4a8d-b6a9-025ac43aa83a", "key": "10.1103/PhysRevD.106.126026.pdf", "size": 265860 }, { "checksum": "md5:61abfd9a72eed8ab8de0a7d275585156", "filetype": "xml", "bucket": "062375e6-9f49-492d-ace2-b72c85eee156", "version_id": "426079b2-2a12-4288-9d8c-de38379505f1", "key": "10.1103/PhysRevD.106.126026.xml", "size": 241290 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-th" ], "value": "2209.01287" } ], "abstracts": [ { "source": "APS", "value": "Warped anti-de Sitter (WAdS)/warped conformal field theory (WCFT) correspondence is an interesting realization of non-AdS holography. It relates three-dimensional warped anti-de Sitter (<math><mrow><msub><mrow><mi>WAdS</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math>) spaces to a special class of two-dimensional quantum field theory with chiral scaling symmetry that acts only on right-moving modes. The latter are often called warped conformal field theories (<math><mrow><msub><mrow><mi>WCFT</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></math>), and their existence makes WAdS/WCFT particularly interesting as a tool to investigate a new type of two-dimensional conformal structure. Besides, WAdS/WCFT is interesting because it enables one to apply holographic techniques to the microstate counting problem of non-AdS, nonsupersymmetric black holes. Asymptotically <math><mrow><msub><mrow><mi>WAdS</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math> black holes (<math><mrow><msub><mrow><mi>WBH</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math>) appear as solutions of topologically massive theories, Chern-Simons theories, and many other models. Here, we explore <math><msub><mrow><mi>WBH</mi></mrow><mn>3</mn></msub><mo>\u00d7</mo><msub><mi>\u03a3</mi><mrow><mi>D</mi><mo>\u2212</mo><mn>3</mn></mrow></msub></math> solutions of <math><mi>D</mi></math>-dimensional higher-curvature gravity, with <math><msub><mi>\u03a3</mi><mrow><mi>D</mi><mo>\u2212</mo><mn>3</mn></mrow></msub></math> being different internal manifolds, typically given by products of deformations of hyperbolic spaces, although we also consider warped products with time-dependent deformations. These geometries are solutions of the second order higher-curvature theory at special (critical) points of the parameter space, where the theory exhibits a sort of degeneracy. We argue that the dual (W)CFT at those points is actually trivial. In many respects, these critical points of <math><msub><mtext>WAdS</mtext><mn>3</mn></msub><mo>\u00d7</mo><msub><mi>\u03a3</mi><mrow><mi>D</mi><mo>\u2212</mo><mn>3</mn></mrow></msub></math> vacua are the squashed/stretched analogs of the <math><mrow><msub><mrow><mi>AdS</mi></mrow><mrow><mi>D</mi></mrow></msub></mrow></math> Chern-Simons point of Lovelock gravity." } ], "imprints": [ { "date": "2022-12-29", "publisher": "APS" } ] }