Critical points of warped AdS/CFT and higher-curvature gravity

Gerónimo Caselli (Departamento de Física, Universidad Nacional de Rosario, Av. Pellegrini 250, Rosario, Santa Fe, Argentina) ; Gaston Giribet (Department of Physics, New York University. 726 Broadway, New York, New York 10003, USA) ; Andrés Goya (Instituto de Astronomía y Física del Espacio, Ciudad Universitaria, Casilla de Correo 67, Sucursal 28, 1428, Buenos Aires, Argentina)

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 (WAdS3) 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 (WCFT2), 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 WAdS3 black holes (WBH3) appear as solutions of topologically massive theories, Chern-Simons theories, and many other models. Here, we explore WBH3×ΣD3 solutions of D-dimensional higher-curvature gravity, with ΣD3 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 WAdS3×ΣD3 vacua are the squashed/stretched analogs of the AdSD Chern-Simons point of Lovelock gravity.

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  "abstracts": [
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      "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."
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Published on:
29 December 2022
Publisher:
APS
Published in:
Physical Review D , Volume 106 (2022)
Issue 12
DOI:
https://doi.org/10.1103/PhysRevD.106.126026
arXiv:
2209.01287
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: