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Related papers: 3D Lovelock Gravity and the Holographic c-Theorem

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We calculate holographically arbitrary n-point correlators of the boundary stress tensor in three-dimensional Einstein gravity with negative or vanishing cosmological constant. We provide explicit expressions up to 5-point (connected)…

High Energy Physics - Theory · Physics 2016-03-23 Arjun Bagchi , Daniel Grumiller , Wout Merbis

We prove a converse theorem for a family of L functions of degree 2 with gamma factor coming from a holomorphic cuspform. We show these L functions coincide with either those coming from a newform or a product of L functions arising from…

Number Theory · Mathematics 2021-10-08 Michael Farmer

Recently, it was discovered that lower-dimensional versions of Lovelock gravity exist as scalar-tensor theories that are examples of Horndeski gravity. We study the thermodynamics of the static black hole solutions in these theories up to…

High Energy Physics - Theory · Physics 2025-07-11 Gokhan Alkac , Gokcen Deniz Ozen , Hikmet Ozsahin , Gun Suer , Mustafa Tek

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

In this paper we study (3+1) dimensional holographic superconductors in quasi-topological gravity which is recently proposed by R. Myers {\it et.al.}. Through both analytical and numerical analysis, we find in general the condensation…

High Energy Physics - Theory · Physics 2011-01-05 Xiao-Mei Kuang , Wei-Jia Li , Yi Ling

We consider several diffeomorphism invariant field theories of 2- and 3-forms in six dimensions. They all share the same kinetic term $BdC$, but differ in the potential term that is added. The theory $BdC$ with no potential term is…

High Energy Physics - Theory · Physics 2017-09-13 Yannick Herfray , Kirill Krasnov

We consider the holographic renormalization group (RG) flow in three dimensional gravity with the gravitational Chern-Simons term coupled to some scalar fields. We apply the canonical approach to this higher derivative case and employ the…

High Energy Physics - Theory · Physics 2014-11-20 Kyosuke Hotta , Yoshifumi Hyakutake , Takahiro Kubota , Takahiro Nishinaka , Hiroaki Tanida

We study the complexity of holographic superconductors (Einstein-Maxwell-complex scalar actions in $d+1$ dimension) by the `complexity = volume' (CV) conjecture. First, it seems that there is a universal property: the superconducting phase…

High Energy Physics - Theory · Physics 2024-07-01 Run-Qiu Yang , Hyun-Sik Jeong , Chao Niu , Keun-Young Kim

We found Bogomol'nyi type of the first order differential equations in three dimensional Einstein gravity and the effective second order ones in new massive gravity when an interacting scalar field is minimally coupled. Using these…

High Energy Physics - Theory · Physics 2013-04-03 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park , Sang-Heon Yi

We apply the framework of Cauchy Slice Holography to the quantization of gravity on closed slices with $\Lambda>0$ (with a focus on $2+1$ dimensions for concreteness). We obtain solutions to the Wheeler-DeWitt equation in a basis of…

High Energy Physics - Theory · Physics 2023-04-14 Goncalo Araujo-Regado

Holography for UV-incomplete gauge theories is important but poorly understood. A paradigmatic example is $d=4$, $\mathcal{N}=4$ super Yang-Mills coupled to $N_f$ quark flavors, which possesses a Landau pole at a UV scale $\Lambda_{LP}$.…

High Energy Physics - Theory · Physics 2017-03-08 Anton F. Faedo , David Mateos , Christiana Pantelidou , Javier Tarrio

We compare the effective action of the scale factor obtained from lattice quantum gravity (in the form of Causal Dynamical Triangulations (CDT)) to the corresponding effective action obtained from the simplest Functional Renormalization…

High Energy Physics - Lattice · Physics 2025-09-26 Jan Ambjørn , Jakub Gizbert-Studnicki , Andrzej Gőrlich , Dániel Németh

Within holography the DC conductivity can be obtained by solving a system of Stokes equations for an auxiliary fluid living on the black hole horizon. We show that these equations can be derived from a novel variational principle involving…

High Energy Physics - Theory · Physics 2017-08-02 Aristomenis Donos , Jerome P. Gauntlett , Tom Griffin , Nakarin Lohitsiri , Luis Melgar

Using the Chern-Simons formulation of AdS3 gravity as well as the Costello-Witten-Yamazaki (CWY) theory for quantum integrability, we construct a novel topological 4D gravity given by Eq(5.1) with observables based on gravitational gauge…

High Energy Physics - Theory · Physics 2024-11-01 Y. Boujakhrout , R. Sammani , E. H Saidi

For a strongly coupled system that has a gravity dual description, we show that the standard holographic dictionary yields a nonnegative susceptibility when the system is in thermodynamic equilibrium and the correlation function is…

High Energy Physics - Theory · Physics 2023-05-01 Run-Qiu Yang , Li Li , Rong-Gen Cai

We consider the Lovelock theory of gravity that assumes a nonlinearity of the field equations in the second-order derivatives of the metric. We prove the opportunity of obtaining cosmological solutions without isotropization in the presence…

General Relativity and Quantum Cosmology · Physics 2015-01-05 Ilya V. Kirnos

We use the AdS/CFT correspondence to explicitly calculate some of the three-point functions in the planar limit of the 4d $\mathcal{N}=1$ Leigh-Strassler SCFT. This strongly interacting CFT can be obtained as a mass deformation of the 4d…

High Energy Physics - Theory · Physics 2025-10-23 Nikolay Bobev , Hynek Paul

We explore the holographic proposal involving spacetimes with linear dilaton asymptotics in three dimensions from a gravity perspective. The holographic dual shares some properties with a symmetric product conformal field theory deformed by…

High Energy Physics - Theory · Physics 2023-07-05 Chih-Kai Chang , Christian Ferko , Savdeep Sethi

We source the Lovelock gravity theories indexed by an integer k and fixed by requiring a unique anti-de Sitter vacuum with a self-interacting nonminimal scalar field in arbitrary dimension d. For each inequivalent Lovelock gravity theory…

High Energy Physics - Theory · Physics 2015-06-18 Francisco Correa , Mokhtar Hassaine

We study the structure of the higher-curvature gravitational densities that are induced from holographic renormalization in AdS$_{d+1}$. In a braneworld construction, such densities define a d-dimensional higher-curvature gravitational…

High Energy Physics - Theory · Physics 2023-02-02 Pablo Bueno , Roberto Emparan , Quim Llorens