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We analyze the Second Law of black hole mechanics and the generalization of the holographic bound for general theories of gravity. We argue that both the possibility of defining a holographic bound and the existence of a Second Law seem to…

高能物理 - 理论 · 物理学 2010-10-27 Daniel Cremades , Ernesto Lozano-Tellechea

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…

高能物理 - 理论 · 物理学 2016-03-03 Shamik Banerjee , Partha Paul

The Van der Waals-like phase transition is observed in temperature-thermal entropy plane in spherically symmetric charged Gauss-Bonnet-AdS black hole background. In terms of AdS/CFT, the non-local observables such as holographic…

高能物理 - 理论 · 物理学 2017-02-01 Song He , Li-Fang Li , Xiao-Xiong Zeng

In AdS/CFT, the holographic Weyl anomaly computation relates the a-anomaly coefficient to the properties of the bulk action at the UV fixed point. This universal behavior suggests the possibility of a holographic c-theorem for the a-anomaly…

高能物理 - 理论 · 物理学 2013-05-30 James T. Liu , Wafic Sabra , Zhichen Zhao

We explore the notion of $c$-functions in renormalization group flows between theories in different spacetime dimensions. We discuss functions connecting central charges of the UV and IR fixed point theories on the one hand, and functions…

We propose a covariant geometrical expression for the c-function for theories which admit dual gravitational descriptions. We state a c-theorem with respect to this quantity and prove it. We apply the expression to a class of geometries,…

高能物理 - 理论 · 物理学 2009-10-31 Vatche Sahakian

The holographic principle suggests that regions of space contain fewer physical degrees of freedom than would be implied by conventional quantum field theory. Meanwhile, in Hilbert spaces of large dimension $2^n$, it is possible to define…

高能物理 - 理论 · 物理学 2024-08-15 Oliver Friedrich , ChunJun Cao , Sean M. Carroll , Gong Cheng , Ashmeet Singh

We present C-functions for static and spherically symmetric spacetimes in Lovelock gravity theories. These functions are monotonically increasing functions of the outward radial coordinate and acquire their minima when evaluated on the…

高能物理 - 理论 · 物理学 2008-11-26 Mohamed M. Anber , David Kastor

We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the gravitational couplings to eliminate…

高能物理 - 理论 · 物理学 2011-02-22 Robert C. Myers , Aninda Sinha

It has been recently established in \textit{Phys.Lett.B 861 (2025) 139260} that regular, asymptotically flat black holes exist in pure gravity theories in dimension greater than four. We extend this result to asymptotically Anti-de Sitter…

高能物理 - 理论 · 物理学 2025-06-17 Monserrat Aguayo , Leonardo Gajardo , Nicolás Grandi , Javier Moreno , Julio Oliva , Martín Reyes

We revisit the existence of monotonic quantities along renormalization group flows using only the Null Energy Condition and the Ryu-Takayanagi formula for the entanglement entropy of field theories with anti-de Sitter gravity duals. In…

高能物理 - 理论 · 物理学 2024-09-27 Evan Deddo , James T. Liu , Leopoldo A. Pando Zayas , Robert J. Saskowski

We construct a new class of 1/4-BPS time dependent domain-wall solutions with null-like metric and dilaton in type II supergravities, which admit a null-like big bang singularity. Based on the domain-wall/QFT correspondence, these solutions…

高能物理 - 理论 · 物理学 2009-11-11 Feng-Li Lin , Wen-Yu Wen

We formulate a holographic Wilsonian renormalization group flow for strongly coupled systems with a gravity dual, motivated by the need to extract efficiently low energy behavior of such systems. Starting with field theories defined on a…

高能物理 - 理论 · 物理学 2011-08-19 Thomas Faulkner , Hong Liu , Mukund Rangamani

The previously proposed "Complexity=Volume" or CV-duality is probed and developed in several directions. We show that the apparent lack of universality for large and small black holes is removed if the volume is measured in units of the…

高能物理 - 理论 · 物理学 2018-12-05 Josiah Couch , Stefan Eccles , Ted Jacobson , Phuc Nguyen

We propose a simple and generic holographic $c$-function that is defined purely from geometry by using the non-affine expansion for null congruences. We examined the proposal for BPS black solutions in $\mathcal{N}=2$ gauged supergravity…

高能物理 - 理论 · 物理学 2016-12-07 S. Shajidul Haque

There is no known model in holography exhibiting a $c$-theorem where the central charges of the dual CFT are distinct. We examine a holographic model of RG flows in a framework where the bulk gravity theory contains higher curvature terms.…

高能物理 - 理论 · 物理学 2011-02-04 Robert C. Myers , Aninda Sinha

Holographic studies of the entanglement entropy of field theories dual to charged and neutral black holes in asymptotically global AdS4 spacetimes are presented. The goal is to elucidate various properties of the quantity that are peculiar…

高能物理 - 理论 · 物理学 2014-08-07 Clifford V. Johnson

The integration of high-energy degrees of freedom along the renormalization group (RG) flow in Poincar\'e-invariant theories can be captured by a monotonic c-function. For such theories, holographic monotonic c-functions have been…

高能物理 - 理论 · 物理学 2025-06-05 Dimitrios Giataganas

We examine non-relativistic holographic RG flows by working with Einstein-Maxwell-scalar theories which support geometries that break Lorentz invariance at some energy scale. We adopt the superpotential formalism, which helps us…

高能物理 - 理论 · 物理学 2021-02-17 Sera Cremonini , Li Li , Kyle Ritchie , Yuezhang Tang

We apply the quantum renormalization group to construct a holographic dual for the U(N) vector model for complex bosons defined on a lattice. The bulk geometry becomes dynamical as the hopping amplitudes which determine connectivity of…

高能物理 - 理论 · 物理学 2015-08-31 Peter Lunts , Subhro Bhattacharjee , Jonah Miller , Erik Schnetter , Yong Baek Kim , Sung-Sik Lee
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