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We propose a method to calculate the expectation values of an operator similar to the Wilson loop in the large N limit of field theories. We consider N=4 3+1 dimensional super-Yang-Mills. The prescription involves calculating the area of a…

High Energy Physics - Theory · Physics 2016-09-06 Juan M. Maldacena

We study some features of the confining string connecting a quark-anti-quark pair in Yang-Mills theory. Monte Carlo investigations of the flux tube between two static quarks in the fundamental representation show that its thickness…

High Energy Physics - Lattice · Physics 2011-03-28 M. Pepe

We present a study of the effective string that describes the infrared dynamics of SU(2) Yang-Mills theory in three dimensions. By combining high-precision lattice simulation results for Polyakov-loop correlators at finite temperatures…

High Energy Physics - Theory · Physics 2022-03-24 Fabrizio Caristo , Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Antonio Smecca

In this letter, an alternative string theory in twistor space is proposed for describing perturbative N=4 super-Yang-Mills theory. Like the recent proposal of Witten, this string theory uses twistor worldsheet variables and has manifest…

High Energy Physics - Theory · Physics 2009-11-10 Nathan Berkovits

Using supersymmetric localization we compute the free energy and BPS Wilson loop vacuum expectation values for planar maximally supersymmetric Yang-Mills theory on $S^d$ in the strong coupling limit for $2\leq d<6$. The same calculation can…

High Energy Physics - Theory · Physics 2020-04-22 Nikolay Bobev , Pieter Bomans , Fridrik Freyr Gautason , Joseph A. Minahan , Anton Nedelin

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

This article reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for N=4 super Yang-Mills. Wilson loops and amplitudes are derived from first principles using the twistor action for maximally…

High Energy Physics - Theory · Physics 2015-05-27 Tim Adamo , Mathew Bullimore , Lionel Mason , David Skinner

We construct $\mathbb{Z}_N$ orbifolds of the ten-dimensional heterotic string theories appropriate for implementing the stringy replica method for the calculation of quantum entanglement entropy. A novel feature for the heterotic string is…

High Energy Physics - Theory · Physics 2024-12-06 Atish Dabholkar , Upamanyu Moitra

We find the Yangian symmetry underlying the integrability of type IIB superstrings on $AdS_3 \times S^3 \times S^3 \times S^1$ with mixed Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz flux. The abstract commutation relations of the Yangian…

High Energy Physics - Theory · Physics 2018-09-26 Antonio Pittelli

The potentials and string tensions between static sources in a variety of representations (fundamental, 8, 6, 15-antisymmetric, 10, 27 and 15-symmetric) have been computed by measuring Wilson loops in pure gauge SU(3). The simulations have…

High Energy Physics - Lattice · Physics 2009-10-31 Sedigheh Deldar

We study our Schwinger-Dyson equation as well as the large $N_{c}$ loop equation for supersymmetric Yang-Mills theory in four dimensions by the N=1 superspace Wilson-loop variable. We are successful in deriving a new manifestly…

High Energy Physics - Theory · Physics 2009-10-30 Hiroshi Itoyama , Hiroyuki Takashino

We present a three-loop O(g^6) calculation of the difference between the expectation values of Wilson loops evaluated in N=4 and superconformal N=2 supersymmetric Yang-Mills theory with gauge group SU(N) using dimensional reduction. We find…

High Energy Physics - Theory · Physics 2010-11-04 Roman Andree , Donovan Young

We calculate the partition function of the $SU(N)$ ( and $U(N)$) generalized $YM_2$ theory defined on an arbitrary Riemann surface. The result which is expressed as a sum over irreducible representations generalizes the Rusakov formula for…

High Energy Physics - Theory · Physics 2009-10-28 O. Ganor , J. Sonnenschein , S. Yankielowicz

The relation between four-dimensional $SO(4)$ pure Yang-Mills theory and the gravity is discussed. The functional integral for Yang-Mills theory is rewritten in terms of the gravity metric and Riemann tensors. This relation is shown to also…

High Energy Physics - Theory · Physics 2025-04-04 A. G. Shuvaev

The group theoretic method is extended to include fields with a background charge. This formalism is used to compute the tree level scattering for $W_3$ strings. The scattering amplitudes involve Ising model correlation functions. A…

High Energy Physics - Theory · Physics 2009-10-22 M. D. Freeman , P. West

In the framework of Matrix theory we show that Wilson loops can serve as interpolating fields to define string scattering amplitudes as gauge theory observables.

High Energy Physics - Theory · Physics 2009-10-31 Nadav Drukker

We suggest that some of the remarkable results on stringy dynamics which have been found recently indicate the existence of another dynamical length scale in string theory that, at weak coupling, is much shorter than the string scale. This…

High Energy Physics - Theory · Physics 2007-05-23 Stephen H. Shenker

In this review we consider the Hamiltonian analysis of Yang-Mills theory and some variants of it in three spacetime dimensions using the Schr\"odinger representation. This representation, although technically more involved than the usual…

High Energy Physics - Theory · Physics 2023-08-29 V. P. Nair

We calculate the energy spectrum of closed strings in SU(N) gauge theories with N=2,3,4,6,8 in 2+1 dimensions to a high accuracy. We attempt to control all systematic errors, and this allows us to perform a precise comparison with different…

High Energy Physics - Lattice · Physics 2009-09-29 Barak Bringoltz , Michael Teper

We investigate the effective potential and the string tension for the spatial Wilson loop (SWL) in hot dense QGP with two types of anisotropy, i.e. external magnetic field and spatial anisotropy, employing a holographic approach for the…

High Energy Physics - Theory · Physics 2026-01-15 Irina Ya. Aref'eva , Ali Hajilou , Kristina Rannu , Pavel Slepov