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We classify the large $N$ limits of four-dimensional supersymmetric gauge theories with simple gauge groups that flow to superconformal fixed points. We restrict ourselves to the ones without a superpotential and with a fixed flavor…

High Energy Physics - Theory · Physics 2021-10-27 Prarit Agarwal , Ki-Hong Lee , Jaewon Song

We consider M-theory on AdS_4 x N^{0,1,0} where N^{0,1,0}= (SU(3) x SU(2))/(SU(2) x U(1)). We review a Penrose limit of AdS_4 x N^{0,1,0} that provides the pp-wave geometry of AdS_4 x S^7. There exists a subsector of three dimensional N=3…

High Energy Physics - Theory · Physics 2011-07-19 Changhyun Ahn

We revisit Type IIB supergravity backgrounds with null and spacelike singularities with natural gauge theory duals proposed in {\tt hep-th/0602107} and {\tt hep-th/0610053}. We show that for these backgrounds there are always choices of the…

High Energy Physics - Theory · Physics 2008-11-26 Adel Awad , Sumit R. Das , K. Narayan , Sandip P. Trivedi

We study one loop quantum gravitational corrections to the long range force induced by the exchange of a massless scalar between two massive scalars. The various diagrams contributing to the flat space S-matrix are evaluated in a general…

General Relativity and Quantum Cosmology · Physics 2017-11-22 S. P. Miao , T. Prokopec , R. P. Woodard

A set of four factorizable non-relativistic S-matrices for a multiplet of fundamental particles are defined based on the R-matrix of the quantum group deformation of the centrally extended superalgebra su(2|2). The S-matrices are a function…

High Energy Physics - Theory · Physics 2012-12-05 Ben Hoare , Timothy J. Hollowood , J. Luis Miramontes

We study the stress tensor four-point function for $\mathcal{N}=4$ SYM with gauge group $G=SU(N)$, $SO(2N+1)$, $SO(2N)$ or $USp(2N)$ at large $N$. When $G=SU(N)$, the theory is dual to type IIB string theory on $AdS_5\times S^5$ with…

High Energy Physics - Theory · Physics 2021-12-30 Luis F. Alday , Shai M. Chester , Tobias Hansen

The space of permutation orbifolds is a simple landscape of two dimensional CFTs, generalizing the well-known symmetric orbifolds. We consider constraints which a permutation orbifold with large central charge must obey in order to be…

High Energy Physics - Theory · Physics 2015-09-07 Alexandre Belin , Christoph A. Keller , Alexander Maloney

We explore the light-cone gauge formulation of a closed supermembrane on AdS_{7} x S^{4}. We obtain the action of matrix quantum mechanics with large N U(N) gauge symmetry for the light-cone supermembrane. We show that this action…

High Energy Physics - Theory · Physics 2007-05-23 K. Murakami

The Kaluza-Klein spectrum of N=2, D=4 supergravity compactified on AdS_2 x S^2 is found and shown to consist of two infinite towers of SU(1,1|2) representations. In addition to `pure gauge' modes living on the boundary of AdS which are…

High Energy Physics - Theory · Physics 2010-02-03 Jeremy Michelson , Marcus Spradlin

We introduce the basics of the nonabelian duality transformation of SU(N) or U(N) vector-field models defined on a lattice. The dual degrees of freedom are certain species of the integer-valued fields complemented by the symmetric groups'…

High Energy Physics - Theory · Physics 2009-10-31 Andrey Dubin

We have studied scattering of a probe particle by a four dimensional AdS-Schwarzschild black hole at large impact factor. Our analysis is consistent perturbatively to leading order in the AdS radius and black hole mass parameter. Next we…

High Energy Physics - Theory · Physics 2021-02-03 Nabamita Banerjee , Arindam Bhattacharjee , Arpita Mitra

We discuss an exact time dependent O(3) symmetric solution with a horizon of the 5d AdS classical gravity equations searching for a 4d boundary theory which would correspond to expanding gauge theory matter. The boundary energy-momentum…

High Energy Physics - Theory · Physics 2008-11-26 K. Kajantie , T. Tahkokallio

We consider light-like Wilson loops with hexagonal geometry in the planar limit of N=4 Super-Yang-Mills theory. Within the Operator-Product-Expansion framework these loops receive contributions from all states that can propagate on top of…

High Energy Physics - Theory · Physics 2015-06-18 Benjamin Basso , Amit Sever , Pedro Vieira

We argue that the recently discovered integrability in the large-N CFT/AdS system is equivalent to diffractionless scattering of the corresponding hidden elementary excitations. This suggests that, perhaps, the key tool for finding the…

High Energy Physics - Theory · Physics 2009-11-10 Matthias Staudacher

We study graviton scattering on $AdS_4\times S^7$, which is dual to the stress tensor multiplet four-point function in the maximally supersymmetric 3d $U(N)_1\times U(N)_{-1}$ ABJM theory. We compute 1-loop corrections to this holographic…

High Energy Physics - Theory · Physics 2022-11-30 Luis F. Alday , Shai M. Chester , Himanshu Raj

We revisit the quantization of a free scalar in 4-dimensional (4d) Lorentzian Anti-de-Sitter spacetime (AdS$_4$). We derive solutions to the wave equation that diagonalize time translations in a foliation of AdS$_4$ with null cones. We show…

High Energy Physics - Theory · Physics 2025-12-16 Núria Navarro , Ana-Maria Raclariu

We consider a class of N=2 conformal SU(N) SYM theories in four dimensions with matter in the fundamental, two-index symmetric and anti-symmetric representations, and study the corresponding matrix model provided by localization on a sphere…

High Energy Physics - Theory · Physics 2020-10-28 M. Beccaria , M. Billo , F. Galvagno , A. Hasan , A. Lerda

We consider the four-point correlator of the stress tensor multiplet in N=4 SYM. We construct all solutions consistent with crossing symmetry in the limit of large central charge c ~ N^2 and large g^2 N. While we find an infinite tower of…

High Energy Physics - Theory · Physics 2015-06-22 Luis F. Alday , Agnese Bissi , Tomasz Lukowski

Motivated by superstring theories on $AdS_3$, we construct spacetime superconformal algebras (SCAs) living on the $AdS_3$ boundary in terms of the transversal physical degrees of freedom. The SCAs constructed are N=4 large, middle algebras,…

High Energy Physics - Theory · Physics 2009-10-31 Jian Jing , Ming Yu

We provide general formulae for the topologically twisted index of a general three-dimensional ${\cal N}\geq 2$ gauge theory with an M-theory or massive type IIA dual in the large $N$ limit. The index is defined as the supersymmetric path…

High Energy Physics - Theory · Physics 2018-09-13 Seyed Morteza Hosseini , Alberto Zaffaroni
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