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We construct a $\mathcal N$-function for Lovelock theories of gravity, which yields a holographic $c$-function in domain-wall backgrounds, and seemingly generalizes the concept for black hole geometries. A flow equation equates the…

High Energy Physics - Theory · Physics 2015-05-27 Miguel F. Paulos

We consider five-dimensional AdS-axion-dilaton gravity with a Gauss-Bonnet term and find a solution of the equations of motion which corresponds to a black brane exhibiting a spatial anisotropy, with the source of the anisotropy being an…

High Energy Physics - Theory · Physics 2015-01-23 Viktor Jahnke , Anderson Seigo Misobuchi , Diego Trancanelli

We revisit a study of local renormalization group (RG) with background gauge fields incorporated using the AdS/CFT correspondence. Starting with a $(d+1)$-dimensional bulk gravity coupled to scalars and gauge fields, we derive a local RG…

High Energy Physics - Theory · Physics 2016-03-16 Ken Kikuchi , Tadakatsu Sakai

We obtain first order equations that determine a supersymmetric kink solution in five-dimensional N=8 gauged supergravity. The kink interpolates between an exterior anti-de Sitter region with maximal supersymmetry and an interior anti-de…

High Energy Physics - Theory · Physics 2009-10-08 D. Z. Freedman , S. S. Gubser , K. Pilch , N. P. Warner

From the Wilsonian point of view, renormalisable theories are understood as submanifolds in theory space emanating from a particular fixed point under renormalisation group evolution. We show how this picture precisely applies to their…

High Energy Physics - Theory · Physics 2016-05-04 J. M. Lizana , T. R. Morris , M. Perez-Victoria

We investigate the dilaton fluctuations near the string based on three classes of solutions of the 3D C-metric within the framework of the string-world holography. As a setup of holography, we focus on the asymptotic symmetry, recover the…

High Energy Physics - Theory · Physics 2025-10-07 Shaohua Xue , Yuxuan Liu , Li-xin Li

In the background of a charged AdS dilaton black hole, we investigate the movement of a self-graviting 3-brane and relevant holographic effects as the brane move close to the AdS boundary. The induced metric on brane corresponds to an exact…

High Energy Physics - Theory · Physics 2020-04-20 Ai-chen Li

In the context of gravitational theories describing renormalization group flows across dimensions via AdS/CFT, we study the role of higher-derivative corrections to Einstein gravity. We use the Null Energy Condition to derive monotonicity…

High Energy Physics - Theory · Physics 2023-08-25 Evan Deddo , James T. Liu , Leopoldo A. Pando Zayas , Robert J. Saskowski

We apply c-extremization, whose proof we review in full detail, to study two-dimensional N=(0,2) superconformal field theories arising from the low-energy dynamics of D3-branes wrapped on Riemann surfaces and M5-branes wrapped on…

High Energy Physics - Theory · Physics 2013-06-11 Francesco Benini , Nikolay Bobev

General model of multidimensional $R^2$-gravity including Riemann tensor square term (non-zero $c$ case) is considered. The number of brane-worlds in such model is constructed (mainly in five dimensions) and their properties are discussed.…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov , Sachiko Ogushi

In this paper we revisit the question that in what sense empty $AdS_{5}$ black brane geometry can be thought of as RG-flow. We do this by first constructing a holographic $c$-function using causal horizon in the black brane geometry. The UV…

High Energy Physics - Theory · Physics 2016-03-03 Shamik Banerjee , Partha Paul

We set up precision holography for the non-conformal branes preserving 16 supersymmetries. The near-horizon limit of all such p-brane solutions with p \leq 4, including the case of fundamental string solutions, is conformal to AdS_{p+2} x…

High Energy Physics - Theory · Physics 2009-11-13 Ingmar Kanitscheider , Kostas Skenderis , Marika Taylor

It has recently been conjectured that the AdS_5/SYM_4 correspondence can be generalized away from the conformal limit, to a duality between supergravity on the full asymptotically flat three-brane background and a theory characterized as…

High Energy Physics - Theory · Physics 2010-02-03 Ulf H. Danielsson , Alberto Guijosa , Martin Kruczenski , Bo Sundborg

Extremal planar black holes of four dimensional Einstein-Maxwell theory with a negative cosmological constant have an AdS$_2 \times \R^2$ near horizon geometry. We show that this near horizon geometry admits a deformation to a two parameter…

High Energy Physics - Theory · Physics 2015-06-19 Sean A. Hartnoll , Jorge E. Santos

We find a class of new supersymmetric dyonic black holes in four-dimensional maximal gauged supergravity which are asymptotic to the ${\rm SU(3)}\times {\rm U(1)}$ invariant AdS$_4$ Warner vacuum. These black holes can be embedded in…

High Energy Physics - Theory · Physics 2018-04-04 Nikolay Bobev , Vincent S. Min , Krzysztof Pilch

We explore the connection between anti-deSitter supergravity and gauge theory, in the context of bound states of many D1 and D5 branes. The near-horizon $AdS_3$ supergravity describes the identity sector of the conformal field theory…

High Energy Physics - Theory · Physics 2007-05-23 Emil J. Martinec

We discuss aspects of generic 2-dimensional dilaton gravity theories. The 2-dim geometry is in general conformal to $AdS_2$ and has IR curvature singularities at zero temperature: this can be regulated by a black hole. The on-shell action…

High Energy Physics - Theory · Physics 2021-07-21 K. Narayan

In arXiv:1508.01343 [hep-th], one of the authors proposed that in AdS/CFT the gravity dual of the boundary $c$-theorem is the second law of thermodynamics satisfied by causal horizons in AdS and this was verified for Einstein gravity in the…

High Energy Physics - Theory · Physics 2016-05-30 Shamik Banerjee , Arpan Bhattacharyya

We consider a system consisting of $5$ dimensional gravity with a negative cosmological constant coupled to a massless scalar, the dilaton. We construct a black brane solution which arises when the dilaton satisfies linearly varying…

High Energy Physics - Theory · Physics 2015-01-14 Sachin Jain , Nilay Kundu , Kallol Sen , Aninda Sinha , Sandip P. Trivedi

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