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The gravitational Lagrangian can be written as a summation of a bulk and a total derivative term. For some theories of gravity such as Einstein gravity, or more general Lovelock gravities, there are Lagrangian holographic relations between…

High Energy Physics - Theory · Physics 2023-01-11 H. Khodabakhshi , H. Lu , R. B. Mann

We use matrix model results to investigate the Sine-Gordon model coupled to two dimensional gravity. For relevant (in the RG sense) potentials, we show that the $c=1$ string, which appears in the ultraviolet limit of this model, flows to a…

High Energy Physics - Theory · Physics 2009-10-22 Edward Hsu , David Kutasov

This paper investigates holographic torus correlators of generic operators at conformal infinity and a finite cutoff within AdS$_3$ gravity coupled with a free scalar field. Using a near-boundary analysis and solving the gravitational…

High Energy Physics - Theory · Physics 2024-05-27 Song He , Yun-Ze Li , Yunda Zhang

We consider the effects of higher curvature terms on a holographic dual description of boundary conformal field theory. Specifically, we consider three-dimensional gravity with a specific combination of Ricci tensor square and curvature…

High Energy Physics - Theory · Physics 2015-06-03 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park , Sang-Heon Yi

We consider the quantum sinh-Gordon model in this paper. Using known formulae for form factors we sum up all their contributions and obtain a closed expression for a correlation function. This expression is a determinant of an integral…

High Energy Physics - Theory · Physics 2008-11-26 V. E. Korepin , N. A. Slavnov

We obtain a basis of diagonal free field multi-matrix 2-point correlators in a theory with global symmetry group G. The operators fall into irreducible representations of G. This applies for gauge group U(N) at finite N. For composites made…

High Energy Physics - Theory · Physics 2010-05-12 T. W. Brown , P. J. Heslop , S. Ramgoolam

We discuss holography for Schrodinger solutions of both topologically massive gravity in three dimensions and massive vector theories in (d+1) dimensions. In both cases the dual field theory can be viewed as a d-dimensional conformal field…

High Energy Physics - Theory · Physics 2011-02-15 Monica Guica , Kostas Skenderis , Marika Taylor , Balt van Rees

We derive the holographic entanglement entropy functional for a generic gravitational theory whose action contains terms up to cubic order in the Riemann tensor, and in any dimension. This is the simplest case for which the so-called…

High Energy Physics - Theory · Physics 2023-01-11 Elena Cáceres , Rodrigo Castillo Vásquez , Alejandro Vilar López

Making use of the weighted Mourre theory developed in [GJ1], we show the limiting absorption principle for Schr{\"o}dinger operators with perturbed oscillating potential on appropriate energy intervals. We focus on a certain class of…

Mathematical Physics · Physics 2017-03-06 Thierry Jecko , Aiman Mbarek

The theory of Schur functors provides a powerful and elegant approach to the representation theory of GL_n - at least to the so-called polynomial representations - especially to questions about how the theory varies with n. We develop…

Representation Theory · Mathematics 2020-11-13 Steven V Sam , Andrew Snowden

We consider the Schur index of $\mathcal N=4$ $U(N)$ SYM theory in 4d and its holographic giant graviton-type expansion at finite $N$. We compute the world-volume brane superconformal index by a recently proposed definition of the gauge…

High Energy Physics - Theory · Physics 2023-06-01 Matteo Beccaria , Alejandro Cabo-Bizet

The Virasoro operations in Witten's theory of two-dimensional topological gravity have a homotopy-theoretic interpretation as endomorphisms of an ordinary cohomology theory with coefficients in a localization of I. Schur's ring \Delta of…

Quantum Algebra · Mathematics 2007-05-23 Jack Morava

We study the one-loop anomalous dimensions of the Super Yang-Mills dual operators to open strings ending on AdS giant gravitons. AdS giant gravitons have no upper bound for their angular momentum and we represent them by the contraction of…

High Energy Physics - Theory · Physics 2009-11-11 Diego H. Correa , Guillermo A. Silva

In this paper we investigate the supergravity equations of motion associated with non-critical ($d>1$) type II string theories that incorporate RR forms. Using a superpotential formalism we determine several classes of solutions. In…

High Energy Physics - Theory · Physics 2009-11-10 Stanislav Kuperstein , Jacob Sonnenschein

We construct and study new giant graviton configurations in the framework of the non-supersymmetric Schrodinger holography. We confirm in the original Schrodinger spacetime, the picture discovered previously in the pp-wave limit of the…

High Energy Physics - Theory · Physics 2021-02-03 George Georgiou , Dimitrios Zoakos

In this note we compute the non-planar one loop anomalous dimension of restricted Schur polynomials that belong to the sl(2) sector of N=4 super Yang-Mills theory and have a bare dimension of order N. Although the details are rather…

High Energy Physics - Theory · Physics 2012-10-11 Robert de Mello Koch , Pablo Diaz , Hesam Soltanpanahi

The superconformal index of $\frac12$-BPS states of $N=4$ U(N) super Yang-Mills theory has a known infinite $q$-series expression with successive terms suppressed by $q^N$. We derive a holographic bulk interpretation of this series by…

High Energy Physics - Theory · Physics 2024-10-02 Giorgos Eleftheriou , Sameer Murthy , Martí Rosselló

We describe majorization between selfadjoint operators in a $\sigma$-finite II$_\infty$ factor $(\mathcal{M},\tau)$ in terms of simple spectral relations. For a diffuse abelian von Neumann subalgebra $\mathcal{A}\subset \mathcal{M}$ with…

Operator Algebras · Mathematics 2013-04-05 Martin Argerami , Pedro Massey

We derive a holographic dual description of free quantum field theory in arbitrary dimensions, by reinterpreting the exact renormalization group, to obtain a higher spin gravity theory of the general type which had been proposed and studied…

High Energy Physics - Theory · Physics 2011-05-12 Michael R. Douglas , Luca Mazzucato , Shlomo S. Razamat

We compute the macroscopic entropy of the supersymmetric rotating dyonic strings carrying linear momentum in 6D (1,0) supergravity with curvature squared corrections. Our calculation is based on Sen's entropy function formalism applied to…

High Energy Physics - Theory · Physics 2021-01-28 Yi Pang