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We study the extremal surfaces of functionals recently proposed for the holographic calculation of entanglement entropy in general higher curvature theories, using New Massive gravity and Gauss-Bonnet gravity as concrete examples. We show…

High Energy Physics - Theory · Physics 2015-06-18 Johanna Erdmenger , Mario Flory , Charlotte Sleight

We explore the question of which shape a manifold is compelled to take when immersed in another one, provided it must be the extremum of some functional. We consider a family of functionals which depend quadratically on the extrinsic…

High Energy Physics - Theory · Physics 2017-10-25 Piermarco Fonda , Vishnu Jejjala , Alvaro Veliz-Osorio

We discuss higher derivative corrections to black hole entropy in theories that allow a near horizon AdS_3 x X geometry. In arbitrary theories with diffeomorphism invariance we show how to obtain the spacetime central charge in a simple…

High Energy Physics - Theory · Physics 2010-04-06 Per Kraus , Finn Larsen

The entanglement "first law" in conformal field theories relates the entanglement entropy for a ball-shaped region to an integral over the same region involving the expectation value of the CFT stress-energy tensor, for infinitesimal…

High Energy Physics - Theory · Physics 2014-05-14 Brian Swingle , Mark Van Raamsdonk

The microscopic origin of black hole entropy remains one of the more intriguing open questions in theoretical physics. A subplot in this drama is the renowned Cardy-Verlinde formula, which uses two-dimensional conformal formalism to explain…

High Energy Physics - Theory · Physics 2007-05-23 A. J. M. Medved

Entanglement entropy for a spatial partition of a quantum system is studied in theories which admit a dual description in terms of the anti-de Sitter (AdS) gravity one dimension higher. A general proof of the holographic formula which…

High Energy Physics - Theory · Physics 2010-02-03 Dmitri V. Fursaev

We show that the linearized higher derivative gravitational field equations are equivalent to an equilibrium condition on the entanglement entropy of small spherical regions in vacuum. This extends Jacobson's recent derivation of the…

High Energy Physics - Theory · Physics 2017-02-15 Pablo Bueno , Vincent S. Min , Antony J. Speranza , Manus R. Visser

We investigate a holographic relation between Einstein Gauss-Bonnet gravity in $n$ dimensions and its dual field theory in ($n-1$) dimensions. We briefly review the AdS/CFT correspondence for the entropy in the $n$-dimensional Einstein…

High Energy Physics - Theory · Physics 2009-10-09 Sachiko Ogushi , Misao Sasaki

Recently, it has been shown that for out-of-equilibrium systems, there are additional constraints on thermodynamical evolution besides the ordinary second law. These form a new family of second laws of thermodynamics, which are equivalent…

High Energy Physics - Theory · Physics 2018-10-10 Alice Bernamonti , Federico Galli , Robert C. Myers , Jonathan Oppenheim

We derive an extension of the Ryu-Takayanagi prescription for curvature squared theories of gravity in the bulk, and comment on a prescription for more general theories. This results in a new entangling functional, that contains a…

High Energy Physics - Theory · Physics 2015-06-17 Joan Camps

In this paper, we show that a higher derivative theory, such as New Massive Gravity, allows the existence of new entangling surfaces with non-zero extrinsic curvature. We perform the analysis for Lifshitz and Warped $AdS$ space times,…

High Energy Physics - Theory · Physics 2016-10-06 Luca Basanisi , Shankhadeep Chakrabortty

We clarify the problem in which occasions can gravitational force be regarded emergent from thermodynamics, by proposing an entropic mechanism that can extract the entropic gradient existing in spacetime, due to the variation of the…

High Energy Physics - Theory · Physics 2021-10-01 Yang An , Peng Cheng

We study causality violation in holographic hydrodynamics in the gauge theory/string theory correspondence, focussing on Gauss-Bonnet gravity. The value of the Gauss-Bonnet coupling is related to the difference between the central charges…

High Energy Physics - Theory · Physics 2010-01-15 Alex Buchel , Robert C. Myers

The holographic entanglement entropy for the most general higher derivative gravity is investigated. We find a new type of Wald entropy, which appears on entangling surface without the rotational symmetry and reduces to usual Wald entropy…

High Energy Physics - Theory · Physics 2015-08-11 Rong-Xin Miao , Wu-zhong Guo

Using holographic entanglement entropy for strip geometry, we construct a candidate for a c-function in arbitrary dimensions. For holographic theories dual to Einstein gravity, this c-function is shown to decrease monotonically along RG…

High Energy Physics - Theory · Physics 2015-06-04 Robert C. Myers , Ajay Singh

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.…

High Energy Physics - Theory · Physics 2011-02-04 Robert C. Myers , Aninda Sinha

The weak gravity conjecture and the shear viscosity to entropy density bound place constraints on low energy effective field theories that may help to distinguish which theories can be UV completed. Recently, there have been suggestions of…

High Energy Physics - Theory · Physics 2010-12-14 Aaron J. Amsel , Dan Gorbonos

In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional…

High Energy Physics - Theory · Physics 2018-03-14 Mostafa Ghasemi , Shahrokh Parvizi

Holographic entanglement entropy and the first law of thermodynamics are believed to decode the gravity theory in the bulk. In particular, assuming the Ryu-Takayanagi (RT)\cite{ryu-takayanagi} formula holds for ball-shaped regions on the…

High Energy Physics - Theory · Physics 2022-09-05 Cunwei Fan , Gabriele La Nave , Philip W. Phillips

The first law for entanglement entropy in CFT in an odd-dimensional asymptotically AdS black hole is studied by using the AdS/CFT duality. The entropy of CFT considered here is due to the entanglement between two subsystems separated by the…

High Energy Physics - Theory · Physics 2021-07-14 Akihiro Ishibashi , Kengo Maeda