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Two dimensional gauge theories with charged matter fields are useful toy models for studying gauge theory dynamics, and in particular for studying the duality of large $N$ gauge theories to perturbative string theories. A useful starting…

High Energy Physics - Theory · Physics 2024-07-11 Ofer Aharony , Suman Kundu , Tal Sheaffer

We generalize Gopakumar's microscopic derivation of Witten diagrams in large N free quantum field theory [1] to interacting theories in perturbative expansion. For simplicity we consider a matrix scalar field with $\Phi^h$ interaction in d…

High Energy Physics - Theory · Physics 2022-12-01 Domingo Gallegos , Umut Gursoy , Natale Zinnato

We study the field theory limit of multi-loop (super)string amplitudes, with the aim of clarifying their relationship to Feynman diagrams describing the dynamics of the massless states. We propose an explicit map between string moduli…

High Energy Physics - Theory · Physics 2015-06-16 Lorenzo Magnea , Sam Playle , Rodolfo Russo , Stefano Sciuto

We construct the lattice gauge theory of the group G_N, the semidirect product of the permutation group S_N with U(1)^N, on an arbitrary Riemann surface. This theory describes the branched coverings of a two-dimensional target surface by…

High Energy Physics - Theory · Physics 2009-11-07 M. Billo' , A. D'Adda , P. Provero

We quantize pure 2d Yang-Mills theory on an arbitrary Riemann surface in the gauge where the field strength is diagonal. Twisted sectors originate, as in Matrix string theory, from permutations of the eigenvalues around homotopically…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , A D'Adda , P. Provero

We investigate the field theory of strings having as a target space an arbitrary discrete one-dimensional manifold. The existence of the continuum limit is guaranteed if the target space is a Dynkin diagram of a simply laced Lie algebra or…

High Energy Physics - Theory · Physics 2009-10-22 I. Kostov

We consider two-dimensional Yang-Mills theories on arbitrary Riemann surfaces. We introduce a generalized Yang-Mills action, which coincides with the ordinary one on flat surfaces but differs from it in its coupling to two-dimensional…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , M. Caselle , A. D'adda , P. Provero

We study open and closed string interactions in the Type IIB plane wave background using open+closed string field theory. We reproduce all string amplitudes from the dual N=2 Sp(N) gauge theory by computing matrix elements of the dilatation…

High Energy Physics - Theory · Physics 2015-06-26 Jaume Gomis , Sanefumi Moriyama , Jongwon Park

We analyze in detail some properties of the worldsheet of the closed string theories suggested by Gopakumar to be dual to free large N SU(N) gauge theories (with adjoint matter fields). We use Gopakumar's prescription to translate the…

High Energy Physics - Theory · Physics 2009-11-11 Ofer Aharony , Zohar Komargodski , Shlomo S. Razamat

We present intermediate results of an ongoing investigation which attempts a generalization of the well known one-loop Bern Kosower rules of Yang-Mills theory to higher loop orders. We set up a general procedure to extract the field…

High Energy Physics - Theory · Physics 2007-05-23 Boris Kors , Michael G. Schmidt

The stringy picture behind the integrable spin chains governing the evolution equations in Yang-Mills theory is discussed. It is shown that one-loop dilatation operator in N=4 theory can be expressed in terms of two-point functions on 2d…

High Energy Physics - Theory · Physics 2007-05-23 A. Gorsky

It is known for ten years that self-dual Yang-Mills theory is the effective field theory of the open N=2 string in 2+2 dimensional spacetime. We uncover an infinite set of abelian rigid string symmetries, corresponding to the symmetries and…

High Energy Physics - Theory · Physics 2015-06-25 Tatiana A. Ivanova , Olaf Lechtenfeld

We study the $n$-point functions of scalar multi-trace operators in the $U(N_c)$ gauge theory with adjacent scalars, such as ${\cal N}=4$ super Yang-Mills, at tree-level by using finite group methods. We derive a set of formulae of the…

High Energy Physics - Theory · Physics 2019-10-14 Ryo Suzuki

A string background, which is in some precise sense {\em universal} (i.e., incorporating all orders in the Feynman diagram expansion), is proposed to represent pure gauge theories. S-duality at the level of the string metric is considered…

High Energy Physics - Theory · Physics 2007-05-23 Enrique Alvarez , César Gómez

Using the {\em cutting and sewing} procedure we show how to get Feynman diagrams, up to two-loop order, of $\Phi^{4}$-theory with an internal SU(N) symmetry group, starting from tachyon amplitudes of the open bosonic string theory. In a…

High Energy Physics - Theory · Physics 2009-10-31 R. Marotta , F. Pezzella

We consider N=1, D=4 superconformal U(N)^{pq} Yang-Mills theories dual to AdS_5xS^5/Z_pxZ_q orbifolds. We construct the dilatation operator of this superconformal gauge theory at one-loop planar level. We demonstrate that a specific sector…

High Energy Physics - Theory · Physics 2009-11-11 Darius Sadri , M. M. Sheikh-Jabbari

This report presents some studies of the gauge/string theory correspondence, a deep relation that is possible to establish between quantum field theories with local gauge symmetry and superstring theories including gravity. In its original…

High Energy Physics - Theory · Physics 2007-05-23 Emiliano Imeroni

The worldsheet string theory dual to free 4d ${\cal N}=4$ super Yang-Mills theory was recently proposed in arXiv:2104.08263. It is described by a free field sigma model on the twistor space of ${\rm AdS}_5\times {\rm S}^5$, and is a direct…

High Energy Physics - Theory · Physics 2021-12-08 Matthias R. Gaberdiel , Rajesh Gopakumar

We propose that chiral two-dimensional Yang-Mills theory on a Riemann surface is dual to a deformed stationary subsector of the Gromov-Witten theory of that Riemann surface. Firstly, we argue that the algebraic structure that underlies the…

High Energy Physics - Theory · Physics 2025-02-06 Lior Benizri , Jan Troost

Various recently developed connections between supersymmetric Yang-Mills theories in four dimensions and two dimensional integrable systems serve as crucial ingredients in improving our understanding of the AdS/CFT correspondence. In this…

High Energy Physics - Theory · Physics 2008-11-26 Abhishek Agarwal