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Acting on operators with a bare dimension $\Delta\sim N^2$ the dilatation operator of $U(N)$ ${\cal N}=4$ super Yang-Mills theory defines a 2-local Hamiltonian acting on a graph. Degrees of freedom are associated with the vertices of the…

High Energy Physics - Theory · Physics 2021-02-03 Robert de Mello Koch , Eunice Gandote , Augustine Larweh Mahu

We study a class of near-BPS operators for a complex 2-parameter family of N=1 superconformal Yang-Mills theories that can be obtained by a Leigh-Strassler deformation of N=4 SYM theory. We identify these operators in the large N and large…

High Energy Physics - Theory · Physics 2009-11-07 Vasilis Niarchos , Nikolaos Prezas

We show that two-dimensional SO(N) and Sp(N) Yang-Mills theories without fermions can be interpreted as closed string theories. The terms in the 1/N expansion of the partition function on an orientable or nonorientable manifold M can be…

High Energy Physics - Theory · Physics 2010-11-01 S. G. Naculich , H. A. Riggs , H. J. Schnitzer

Recently it has been proposed that the coefficient of the three-point function of the BMN operators in N=4 supersymmetric Yang-Mills theory is related to the three-string interactions in the pp-wave background. We calculate three-point…

High Energy Physics - Theory · Physics 2014-11-18 Chong-Sun Chu , Valentin V. Khoze , Gabriele Travaglini

We exploit a conjectured continuity between super Yang-Mills on $\mathbb R^3\times \mathbb S^1$ and pure Yang-Mills to study $k$-strings in the latter theory. As expected, we find that Wilson-loop correlation functions depend on the N-ality…

High Energy Physics - Theory · Physics 2018-01-01 Mohamed M. Anber , Vito Pellizzani

By doing a small $c$ (speed of light) expansion of $SU(N)$ Yang-Mills fields, we construct two different electric and two different magnetic sectors actions of Carrollian Yang-Mills theory. For both electric and magnetic cases, one sector…

High Energy Physics - Theory · Physics 2023-06-14 Minhajul Islam

Causality on the gravity side of the AdS/CFT correspondence restricts motion on the moduli space of the N=4 super Yang Mills theory by imposing a speed limit on how fast the scalar field may roll. This effect can be traced to higher…

High Energy Physics - Theory · Physics 2008-11-26 Eva Silverstein , David Tong

We consider a semiclassical multiwrapped circular string pulsating on S_5, whose center of mass has angular momentum J on an S_3 subspace. Using the AdS/CFT correspondence we argue that the one-loop anomalous dimension of the dual operator…

High Energy Physics - Theory · Physics 2010-02-03 J. Engquist , J. A. Minahan , K. Zarembo

It was recently argued by Nguyen-Tanizaki-Unsal that two-dimensional pure Yang-Mills theory is equivalent to (decomposes into) a disjoint union of (invertible) quantum field theories, known as universes. In this paper we compare this…

High Energy Physics - Theory · Physics 2023-12-29 T. Pantev , E. Sharpe

Free ${\cal N}=4$ Super Yang-Mills theory (in the large $N$ limit) is dual to an, as yet, intractable closed string theory on $AdS_5\times S^5$. We aim to implement open-closed string duality in this system and thereby recast the free field…

High Energy Physics - Theory · Physics 2009-11-10 Rajesh Gopakumar

String solitons in AdS_5 contain information of N=4 SUSY Yang-Mills theories on the boundary. Recent proposals for rotating string solitons reproduce the spectrum for anomalous dimensions of Wilson operators for the boundary theory. There…

High Energy Physics - Theory · Physics 2009-11-07 Minos Axenides , Emmanuel Floratos , Alex Kehagias

In this article, subleading (in $1/N$) corrections to the action of the one loop dilatation operator in the su(3) sector of $\mathcal{N}=4$ super Yang-Mills theory are studied. We focus on the system of operators dual to two giant graviton…

High Energy Physics - Theory · Physics 2022-06-17 Chenliang Su

A well-known connection between n strings winding around a circle and permutations of n objects plays a fundamental role in the string theory of large N two dimensional Yang Mills theory and elsewhere in topological and physical string…

High Energy Physics - Theory · Physics 2013-05-30 Robert de Mello Koch , Sanjaye Ramgoolam

Two-dimensional Yang-Mills theory (2d YM) is arguably the simplest confining gauge theory and its large $N_c$ expansion has a structure of the genus expansion in string theory. Nevertheless various aspects of its worldsheet description have…

High Energy Physics - Theory · Physics 2025-12-02 Shota Komatsu , Pronobesh Maity

The spectrum of IIB supergravity on AdS${}_5 \times S^5$ contains a number of bound states described by long double-trace multiplets in $\mathcal{N}=4$ super Yang-Mills theory at large 't Hooft coupling. At large $N$ these states are…

High Energy Physics - Theory · Physics 2018-12-26 F. Aprile , J. M. Drummond , P. Heslop , H. Paul

We derive the worldsheet propagator for an open string with different magnetic fields at the two ends, and use it to compute two distinct noncommutativity parameters, one at each end of the string. The usual scaling limit that leads to…

High Energy Physics - Theory · Physics 2010-11-15 Louise Dolan , Chiara R. Nappi

This dissertation reviews various aspects of the N=4 supersymmetric Yang--Mills theory in particular in relation with the AdS/CFT correspondence. The first two chapters are introductory. The first one contains a description of the general…

High Energy Physics - Theory · Physics 2007-05-23 Stefano Kovacs

According to the AdS/CFT correspondence, the maximally supersymmetric SU(N) Yang-Mills theory in 4 dimensions is dual to the type IIB string theory compactified on AdS_5 x S^5. Most of the tests performed so far are confined to the leading…

High Energy Physics - Theory · Physics 2007-05-23 Adel Bilal , Chong-Sun Chu

We consider the 1+1 dimensional supersymmetric matrix field theory obtained from a dimensional reduction of ten dimensional ${\cal N} = 1$ super Yang-Mills, which is a matrix model candidate for non-perturbative Type IIA string theory. The…

High Energy Physics - Theory · Physics 2007-05-23 F. Antonuccio , H. C. Pauli , S. Tsujimaru

Attempts to solve Yang-Mills theory must eventually face the problem of analyzing the theory at intermediate values of the coupling constant. In this regime neither perturbation theory nor the gravity dual are adequate, and one must…

High Energy Physics - Theory · Physics 2008-11-26 Iosif Bena , Joseph Polchinski , Radu Roiban