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The 3+1 (canonical) decomposition of all geometries admitting two-dimensional space-like surfaces is exhibited. A proposal consisting of a specific re-normalization {\bf Assumption} and an accompanying {\bf Requirement} is put forward,…

General Relativity and Quantum Cosmology · Physics 2013-05-06 T. Christodoulakis , G. Doulis , Petros A. Terzis , E. Melas , Th. Grammenos , G. O. Papadopoulos , A. Spanou

Using deformation theory based on BRST cohomology, a supergravity model is constructed which interpolates through a continuous deformation parameter between new minimal supergravity with an extra U(1) gauge multiplet and standard…

High Energy Physics - Theory · Physics 2007-05-23 Friedemann Brandt

This is a complete and exhaustive review on the so-called holographic axion model -- a bottom-up holographic system characterized by the presence of a set of shift symmetric scalar bulk fields whose profiles are taken to be linear in the…

High Energy Physics - Theory · Physics 2021-06-02 Matteo Baggioli , Keun-Young Kim , Li Li , Wei-Jia Li

An holographic f(R) gravity model of dark energy is proposed. The correspondence between the f(R) geometrical effective energy density with the holographic density, allows the reconstruction of the f(R) gravity in flat FRW background in the…

High Energy Physics - Theory · Physics 2008-12-10 L. N. Granda

Various two-dimensional O(N) models coupled to Euclidean quantum gravity, whose intrinsic dimension is four, are shown to belong to universality classes of nongravitating statistical models in a lower number of dimensions. It is speculated…

Statistical Mechanics · Physics 2010-03-16 Wolfhard Janke , Adriaan M. J. Schakel

We construct all complete metrics of cohomogeneity one G(2) holonomy with S^3 x S^3 principal orbits from gauged supergravity. Our approach rests on a generalization of the twisting procedure used in this framework. It corresponds to a…

High Energy Physics - Theory · Physics 2009-11-07 J. D. Edelstein , A. Paredes , A. V. Ramallo

According to the holographic principle, the maximum amount of information stored in a region of space scales as the area of its two-dimensional surface, like a hologram. We show that the holographic principle can be understood heuristically…

General Relativity and Quantum Cosmology · Physics 2016-10-21 Y. Jack Ng

In this note we initiate the study of ``twisted holography'' for the dualities involving the BFSS matrix quantum mechanics and the IKKT matrix model in their $N \rightarrow \infty$ limits. We identify the admissible twists of each model,…

High Energy Physics - Theory · Physics 2026-03-11 Fabian Hahner , Natalie M. Paquette

We study the emergence of $q$-deformed spacetime in a lower-dimensional gravitational system whose asymptotic region geometrizes the global symmetry of a $q$-deformed CFT. More precisely, we consider the 2d sinh dilaton gravity model, whose…

High Energy Physics - Theory · Physics 2025-07-21 Andreas Belaey , Thomas G. Mertens , Jacopo Papalini

We work out the holographic dictionary for the three-dimensional Schr\"odinger spacetimes. The first step in our analysis involves the correct identification of the dual sources from the radial expansion of the bulk fields, which turns out…

High Energy Physics - Theory · Physics 2012-06-29 Balt C. van Rees

In this paper we study the holographic dual to a-maximization in five-dimensional N = 2 gauged supergravity. In particular, we apply the procedure described by Tachikawa to specific examples consisting of holographic duals to gauge theories…

High Energy Physics - Theory · Physics 2012-12-24 Phillip Szepietowski

We study one and two point functions of conformal field theories on spaces of maximal symmetry with and without boundaries and investigate their spectral representations. Integral transforms are found, relating the spectral decomposition to…

High Energy Physics - Theory · Physics 2015-09-30 Kurt Hinterbichler , James Stokes , Mark Trodden

We find the Holographic Renormalization Group equations for the holographic duals of generic gravity theories coupled to form fields and spin-1/2 fermions. Using Hamilton-Jacobi theory we discuss the structure of Ward identities, anomalies,…

High Energy Physics - Theory · Physics 2009-10-31 Jussi Kalkkinen , Dario Martelli

We revisit the subject of holographic renormalization for asymptotically AdS spacetimes. For many applications of holography, one has to handle the divergences associated with the on-shell gravitational action. The brute force approach uses…

High Energy Physics - Theory · Physics 2016-06-29 Henriette Elvang , Marios Hadjiantonis

This is a very brief review of some results from hep-th/0112154 and hep-th/0209191. In holographic renormalization, we studied the RG flow of a 2d N=(4,4) CFT perturbed by a relevant operator, flowing to a conformal fixed point in the IR.…

High Energy Physics - Theory · Physics 2007-05-23 Marcus Berg

The first order formalism for 3D Yang-Mills theory is considered and two different formulations are introduced, in which the gauge theory appears to be a deformation of the topological BF theory. We perform the quantization and the…

High Energy Physics - Theory · Physics 2014-11-18 Alberto Accardi , Andrea Belli , Maurizio Martellini , Mauro Zeni

We construct a holographic map between asymptotically AdS_5 x S^5 solutions of 10d supergravity and vacuum expectation values of gauge invariant operators of the dual QFT. The ingredients that enter in the construction are (i) gauge…

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

We propose a unified description for the constants of motion for superintegrable deformations of the oscillator and Coulomb systems on N-dimensional Euclidean space, sphere and hyperboloid. We also consider the duality between these…

High Energy Physics - Theory · Physics 2017-01-25 Tigran Hakobyan , Armen Nersessian , Hovhannes Shmavonyan

We review the formalism of holographic renormalization. We start by discussing mathematical results on asymptotically anti-de Sitter spacetimes. We then outline the general method of holographic renormalization. The method is illustrated by…

High Energy Physics - Theory · Physics 2008-11-26 Kostas Skenderis

We show that Polchinski equations in the D--dimensional matrix scalar field theory can be reduced at large $N$ to the Hamiltonian equations in a (D+1)-dimensional theory. In the subsector of the $\Tr \phi^l$ (for all $l$) operators we find…

High Energy Physics - Theory · Physics 2010-04-14 E. T. Akhmedov , E. T. Musaev
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