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We study Yang Mills theory in 2+1 dimensions, as an array of coupled (1+1)-dimensional principal chiral sigma models. This can be understood as an anisotropic limit where one of the space-time dimensions is discrete and the others are…

High Energy Physics - Theory · Physics 2014-09-10 Axel Cortés Cubero

We explain how the string spectrum in flat space and pp-waves arises from the large $N$ limit, at fixed $g^2_{YM}$, of U(N) ${\cal N} =4$ super Yang Mills. We reproduce the spectrum by summing a subset of the planar Feynman diagrams. We…

High Energy Physics - Theory · Physics 2009-11-07 David Berenstein , Juan Maldacena , Horatiu Nastase

We present a cosmic string on a warped five dimensional space time in Einstein-Yang-Mills theory. Four-dimensional cosmic strings show some serious problems concerning the mechanism of string smoothing related to the string mass per unit…

General Relativity and Quantum Cosmology · Physics 2011-11-14 Reinoud Jan Slagter , Derk Masselink

The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have…

High Energy Physics - Theory · Physics 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

The AdS/CFT correspondence provides valuable constraints on the possible exact form of various physical quantities in the ${\cal N}=4$ super Yang-Mills theory in the large N limit. We examine the free energy as the expansions in a small as…

High Energy Physics - Theory · Physics 2009-10-31 Miao Li

What is the dimension of spacetime? We address this question in the context of the AdS/CFT Correspondence. We give a prescription for computing the number of large bulk dimensions, $D$, from strongly-coupled CFT$_d$ data, where "large"…

High Energy Physics - Theory · Physics 2019-11-14 Luis F. Alday , Eric Perlmutter

One of the powerful techniques to analyze the 5 dimensional Super Yang Mills theory with a massive hypermultiplet (N=1*) is provided by the AdS/CFT correspondence. It predicts that, for certain special values of the hypermultiplet mass,…

High Energy Physics - Theory · Physics 2009-11-10 Iosif Bena , Radu Roiban

We compute supersymmetry algebra (superalgebra) in supersymmetric Yang-Mills theories (SYM) consisting of a vector multiplet including fermionic contribution in six dimensions. We show that the contribution of fermion is given by boundary…

High Energy Physics - Theory · Physics 2015-10-21 Shuichi Yokoyama

We show that the physical degrees of freedom of the critical open string with N=2 superconformal symmetry on the worldsheet are described by a self-dual Yang-Mills field on a hyperspace parametrised by the coordinates of the target space…

High Energy Physics - Theory · Physics 2016-09-06 Chandrashekar Devchand , Olaf Lechtenfeld

Yang Mills theory in 2+1 dimensions can be expressed as an array of coupled (1+1)-dimensional principal chiral sigma models. The $SU(N)\times SU(N)$ principal chiral sigma model in 1+1 dimensions is integrable, asymptotically free and has…

High Energy Physics - Theory · Physics 2014-10-01 Axel Cortés Cubero

In this paper, we will analyse three dimensional supersymmetric Yang-Mills theory coupled to matter fields in $SIM(1)$ superspace formalism. The original theory which is invariant under the full Lorentz group has $\mathcal{N} =1$…

High Energy Physics - Theory · Physics 2015-03-05 Jiří Vohánka , Mir Faizal

We show some implications of the approach to AdS/CFT correspondence based on Type IIB string in the flat space-time with D3-branes proposed in our previous paper. We discuss a correspondence for high energy scattering amplitudes of N=4…

High Energy Physics - Theory · Physics 2009-06-11 H. Kawai , T. Suyama

We describe a class of six-dimensional conformal field theories that have some properties in common with and possibly are related to a subsector of the tensionless string theories. The latter theories can for example give rise to…

High Energy Physics - Theory · Physics 2009-10-31 Mans Henningson

In the first part of these lectures we will review the main aspects of large N QCD and the explicit results obtained from it. Then, after a review of the properties of N=4 super Yang-Mills, type IIB string theory and of AdS space, we…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Di Vecchia

In this paper, we take up an old thread of development concerning the characterization of supersymmetric theories without any use of anticommuting variables that goes back to one of the authors' very early work [1]. Our special focus here…

High Energy Physics - Theory · Physics 2020-06-05 Sudarshan Ananth , Hermann Nicolai , Chetan Pandey , Saurabh Pant

We review the last year progress in understanding supersymmetric SU(2) Yang-Mills quantum mechanics in four and ten space-time dimensions. The four dimensional system is now well under control and the precise spectrum is obtained in all…

High Energy Physics - Theory · Physics 2007-05-23 J. Wosiek

Half BPS correlators in N=4 super Yang-Mills theory are key quantities both in the AdS/CFT correspondence as well as in scattering amplitudes research. They are dual at strong coupling to quantum gravity amplitudes. At weak coupling on the…

High Energy Physics - Theory · Physics 2023-01-18 Paul Heslop

Motivated by the possibility of an effective string description for the infrared limit of pure Yang-Mills theory, we present a toy model for an effective theory of random surfaces propagating in a target space of $D>2$. We show that the…

High Energy Physics - Theory · Physics 2015-06-26 S. Chaudhuri , D. Minic

For correlators in $\mathcal{N}=4$ Super Yang-Mills preserving half the supersymmetry, we manifestly recast the gauge theory Feynman diagram expansion as a sum over dual closed strings. Each individual Feynman diagram maps on to a Riemann…

High Energy Physics - Theory · Physics 2024-12-19 Rajesh Gopakumar , Rishabh Kaushik , Shota Komatsu , Edward A. Mazenc , Debmalya Sarkar

We investigate the transverse fluctuations of the confining string connecting two static quarks in (2+1)-d SU(2) Yang-Mills theory using Monte Carlo calculations. The exponentially suppressed signal is extracted from the large noise by a…

High Energy Physics - Lattice · Physics 2010-11-11 F. Gliozzi , M. Pepe , U. -J. Wiese