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In the framework of AdS/CFT duality, we consider the semiclassical problem in general quadratic theory of gravity. We construct asymptotically global AdS and hyperbolic~(topological) AdS black hole solutions with non-trivial quantum hair in…

High Energy Physics - Theory · Physics 2024-12-30 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

Computing leading higher curvature contributions to thermodynamic quantities of AdS black hole is drastically simplified once the higher curvature terms are expressed in terms of powers of Weyl tensor by applying proper field redefinitions,…

High Energy Physics - Theory · Physics 2024-07-23 Liang Ma , Peng-Ju Hu , Yi Pang , Hong Lu

Since the proposal of the AdS/CFT correspondence, made by Maldacena and Witten, there has been some controversy about the definition of conserved Noether charges associated to asymptotic isometries in asymptotically AdS spacetimes, namely,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pedro Lauridsen Ribeiro

We show that $3$-dimensional AdS spacetime can be semiclassically unstable due to strongly interacting quantum field effects. In our previous paper, we have pointed out the possibility of such an instability of AdS$_3$ by inspecting linear…

High Energy Physics - Theory · Physics 2023-12-19 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

We present a novel derivation of the full holographic conformal anomaly in two five-dimensional scalar-tensor theories-one Lovelock-Horndeski type and one Einstein-dilaton-Gauss-Bonnet-obtained via a unified mechanism for Kaluza-Klein…

High Energy Physics - Theory · Physics 2025-06-17 Tianhao Wu , Michael Stone

We explore four-dimensional Einstein-Weyl gravity and supergravity on anti-de Sitter spacetime. For a specific range of the coupling with appropriate boundary conditions, we show the effective equivalence of the theory with Einstein gravity…

High Energy Physics - Theory · Physics 2015-06-03 Seungjoon Hyun , Wooje Jang , Jaehoon Jeong , Sang-Heon Yi

We formulate a renormalisation procedure for IR divergences of tree-level in-in late-time de Sitter correlators. These divergences are due to the infinite volume of spacetime and are analogous to the divergences that appear in AdS dealt…

High Energy Physics - Theory · Physics 2024-06-13 Adam Bzowski , Paul McFadden , Kostas Skenderis

We present a comprehensive discussion of gravitational charges and radiation in four-dimensional asymptotically locally de Sitter (AldS) spacetimes. Such spacetimes have compact spatial sections and possess spacelike past and future…

High Energy Physics - Theory · Physics 2025-12-17 Aaron Poole , Kostas Skenderis , Marika Taylor

A background-independent, Lorentz-covariant approach to compute conserved charges in odd-dimensional AdS gravity, alternative to the standard counterterms method, is presented. A set of boundary conditions on the asymptotic extrinsic and…

High Energy Physics - Theory · Physics 2007-05-23 P. Mora , R. Olea , R. Troncoso , J. Zanelli

We review issues related to conservation laws for gravity with a negative cosmological constant subject to asymptotically (locally) anti-de Sitter boundary conditions. Beginning with the empty AdS spacetime, we introduce asymptotically…

General Relativity and Quantum Cosmology · Physics 2014-04-25 Sebastian Fischetti , William Kelly , Donald Marolf

In a complex manifold, one can bridge anti-de Sitter and de Sitter spacetimes via analytic continuation, preserving geometric invariants and regularity, avoiding singularities during the AdS-dS transition. It unifies gravitational and gauge…

General Relativity and Quantum Cosmology · Physics 2026-01-12 J. W. Moffat , E. J. Thompson

In the framework of AdS/CFT correspondence, the Fefferman--Graham (FG) gauge offers a useful way to express asymptotically anti-de Sitter spaces, allowing a clear identification of their boundary structure. A known feature of this approach…

High Energy Physics - Theory · Physics 2025-01-22 Gabriel Arenas-Henriquez , Felipe Diaz , David Rivera-Betancour

We formulate axioms of conformal theory (CT) in dimensions $>2$ modifying Segal's axioms for two-dimensional CFT. (In the definition of higher-dimensional CFT one includes also a condition of existence of energy-momentum tensor.) We use…

High Energy Physics - Theory · Physics 2016-07-20 Albert Schwarz

We analyse holographic field theory dual to Lovelock Chern-Simons AdS Gravity in higher dimensions using first order formalism. We first find asymptotic symmetries in the AdS sector showing that they consist of local translations, local…

High Energy Physics - Theory · Physics 2017-08-30 Branislav Cvetković , Olivera Miskovic , Dejan Simić

We follow to Witten proposal in the calculation of conformal anomaly from d+1-dimensional higher derivative gravity via AdS/CFT correspondence. It is assumed that some d-dimensional conformal field theories have a description in terms of…

High Energy Physics - Theory · Physics 2009-10-31 Shin'ichi Nojiri , Sergei D. Odintsov

A variational formulation is given for a theory of gravity coupled to a massive vector in four dimensions, with Asymptotically Lifshitz boundary conditions on the fields. For theories with critical exponent z=2 we obtain a well-defined…

High Energy Physics - Theory · Physics 2011-11-08 Robert Mann , Robert McNees

We consider Einstein-Weyl gravity with a minimally coupled scalar field in four dimensional spacetime. By using the Minimal Geometric Deformation (MGD) approach, we split the highly nonlinear coupled field equations into two subsystems that…

General Relativity and Quantum Cosmology · Physics 2023-11-09 Ming Zhang , Sheng-Yuan Li , De-Cheng Zou , Chao-Ming Zhang

We review the issue of gauge and gravitational anomalies with backgrounds, maybe offering a new outlook on some aspects of these questions. We compute the holographic anomalies of hypothetical theories dual, in the sense of the AdS-CFT…

High Energy Physics - Theory · Physics 2015-05-20 Pablo Mora

We analyze a holographic model with a pure gauge and a mixed gauge-gravitational Chern-Simons term in the action. These are the holographic implementations of the usual chiral and the mixed gauge-gravitational anomalies in four dimensional…

High Energy Physics - Theory · Physics 2015-05-28 Karl Landsteiner , Eugenio Megias , Luis Melgar , Francisco Pena-Benitez

Based on the numerical conformal bootstrap bound, we show that the arbitrarily small Reissner-Nordstr\"om black hole in AdS space-time is inconsistent with holography unless the energy spectrum is modified quantum mechanically or it is…

High Energy Physics - Theory · Physics 2020-08-12 Yu Nakayama
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