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In this note, we define a holographic dual to four-dimensional superconformal field theories formulated on arbitrary Riemannian manifolds equipped with a Killing vector. Moreover, assuming smoothness of the bulk solution, we study the…

High Energy Physics - Theory · Physics 2019-11-04 Pietro Benetti Genolini , Paul Richmond

We consider a scalar field with a Gauss-Bonnet-type coupling to the curvature in a curved space-time. For such a quadratic coupling to the curvature, the metric energy-momentum tensor does not contain derivatives of the metric of orders…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yu. V. Pavlov

We consider renormalizability of topologically massive gravity in three space-time dimensions. With a usual parametrization of the metric tensor, we establish the statement that topologically massive gravity is in fact renormalizable. In…

High Energy Physics - Theory · Physics 2009-08-14 Ichiro Oda

The dS/dS correspondence provides a holographic description of quantum gravity in d dimensional de Sitter space near the horizon of a causal region in a well defined approximation scheme; it is equivalent to the low energy limit of…

High Energy Physics - Theory · Physics 2009-11-11 Mohsen Alishahiha , Andreas Karch , Eva Silverstein

In this paper, we derive the field equations of quartic quasi-topological gravity by varying the action with respect to the metric. Also, we obtain the linearized graviton equations in the AdS background and find that it is governed by a…

High Energy Physics - Theory · Physics 2013-11-12 M. H. Dehghani , M. H. Vahidinia

We revisit the formalism of $\text{T}\overline{\text{T}}$ deformations for quantum theories that are holographically dual to two-dimensional dilaton-gravity theories with Dirichlet boundary conditions. To better understand the microscopics…

High Energy Physics - Theory · Physics 2025-01-17 Sergio E. Aguilar-Gutierrez , Andrew Svesko , Manus R. Visser

We give a novel definition of gravitational energy for an arbitrary theory of gravity including quadratic-curvature corrections to Einstein equations. We focus on the theory in four dimensions, in presence of negative cosmological constant,…

High Energy Physics - Theory · Physics 2018-09-12 Gaston Giribet , Olivera Miskovic , Rodrigo Olea , David Rivera-Betancour

We propose a regularization procedure for the novel Einstein-Gauss-Bonnet theory of gravity, which produces a set of field equations that can be written in closed form in four dimensions. Our method consists of introducing a counter term…

General Relativity and Quantum Cosmology · Physics 2020-07-07 Pedro G. S. Fernandes , Pedro Carrilho , Timothy Clifton , David J. Mulryne

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 calculate the two-point function of the trace of the stress tensor in holographic renormalization group flows between pairs of conformal field theories. We show that the term proportional to the momentum squared in this correlator gives…

High Energy Physics - Theory · Physics 2016-04-19 Horacio Casini , Eduardo Teste , Gonzalo Torroba

We present a systematic approach to supersymmetric holographic renormalization for a generic 5D $\mathcal{N}=2$ gauged supergravity theory with matter multiplets, including its fermionic sector, with all gauge fields consistently set to…

High Energy Physics - Theory · Physics 2018-01-17 Ok Song An

We argue that gravity theories in AdS4 are holographically dual to either of two three-dimensional CFT's: the usual Dirichlet CFT1 where the fixed graviton acts as a source for the stress-energy tensor, and a dual CFT2 with a fixed dual…

High Energy Physics - Theory · Physics 2009-01-27 Sebastian de Haro

We consider warped five-dimensional thick braneworlds with four-dimensional Poincar\'e invariance originated from bulk scalar matter non-minimally coupled to gravity plus a Gauss-Bonnet term. The background field equations as well as the…

High Energy Physics - Theory · Physics 2012-02-03 Alfredo Herrera-Aguilar , Dagoberto Malagon-Morejon , Refugio Rigel Mora-Luna , Israel Quiros

The gauge/string dualities have drawn attention to a class of variational problems on a boundary at infinity, which are not well defined unless a certain boundary term is added to the classical action. In the context of supergravity in…

High Energy Physics - Theory · Physics 2011-03-17 Ioannis Papadimitriou

The finiteness condition of renormalization gives a restriction on the form of the gravitational action. By reconsidering the Hathrell's RG equations for massless QED in curved space, we determine the gravitational counterterms and the…

High Energy Physics - Theory · Physics 2014-06-11 Ken-ji Hamada

An action for the higher-derivative corrections to minimal gauged supergravity in four dimensions has been recently proposed. We demonstrate that the supersymmetric solutions of this model are those of the two-derivative action, and…

High Energy Physics - Theory · Physics 2021-09-15 Pietro Benetti Genolini , Paul Richmond

We analyse a simple example of a holographically dual pair in which we topologically twist both theories. The holography is based on the two-dimensional N=2 supersymmetric Liouville conformal field theory that defines a unitary bulk quantum…

High Energy Physics - Theory · Physics 2020-04-22 Songyuan Li , Jan Troost

We develop the holographic renormalization of AdS_2 gravity systematically. We find that a bulk Maxwell term necessitates a boundary mass term for the gauge field and verify that this unusual term is invariant under gauge transformations…

High Energy Physics - Theory · Physics 2008-12-18 Alejandra Castro , Daniel Grumiller , Finn Larsen , Robert McNees

It is shown that the compactification a la Randall Sundrum of the so called, five dimensional Einstein Chern Simons action gravity leads to an action for a four dimensional scalar tensor gravity that includes a Gauss Bonnet term, which…

High Energy Physics - Theory · Physics 2023-08-09 L. Cardenas , V. C. Orozco , P. Salgado , D. Salgado , R. Salgado

Higher-order curvature corrections involving the conformally-invariant Weyl-squared action have played a role in two recent investigations of four-dimensional gravity; in critical gravity, where it is added to the standard cosmological…

High Energy Physics - Theory · Physics 2012-10-02 H. Lu , Yi Pang , C. N. Pope