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The one-instanton contributions to various correlation functions of supercurrents in four-dimensional N=4 supersymmetric SU(2) Yang-Mills theory are evaluated to the lowest order in perturbation theory.Expressions of the same form are…

High Energy Physics - Theory · Physics 2009-10-31 Massimo Bianchi , Michael B. Green , Stefano Kovacs , Giancarlo Rossi

One-instanton contributions to the correlation functions of two gauge-invariant single-trace operators in N=4 SU(N) Yang-Mills theory are studied in semi-classical approximation in the BMN limit. The most straightforward examples involve…

High Energy Physics - Theory · Physics 2009-11-11 Michael B. Green , Stefano Kovacs , Aninda Sinha

We report on the computation of the one-instanton contribution to the 16-point Green function of fermionic composite operators in N=4 Super YM theory. The remarkable agreement, initially found in the case of an SU(2) gauge group, with the…

High Energy Physics - Theory · Physics 2007-05-23 Massimo Bianchi , Stefano Kovacs

Instanton contributions to the anomalous dimensions of gauge-invariant composite operators in the N=4 supersymmetric SU(N) Yang-Mills theory are studied in the one-instanton sector. Independent sets of scalar operators of bare dimension 2,…

High Energy Physics - Theory · Physics 2009-11-10 Stefano Kovacs

We examine a certain 16-fermion correlator in {\cal N}=4 supersymmetric SU(N) gauge theory in 4 dimensions. Generalizing recent SU(2) results of Bianchi, Green, Kovacs and Rossi, we calculate the exact N-dependence of the effective…

High Energy Physics - Theory · Physics 2009-10-31 N. Dorey , V. V. Khoze , M. P. Mattis , S. Vandoren

The series of perturbative fluctuations around a multi-instanton contribution to a specific class of correlation functions of supercurrents in $\cal N=4$ supersymmetric SU(N) Yang-Mills theory is examined in the light of the AdS/CFT…

High Energy Physics - Theory · Physics 2009-10-31 Rajesh Gopakumar , Michael B. Green

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

We present a semiclassical calculation of instanton effects in N=4 supersymmetric Yang-Mills theory formulated on R^{3}XS^{1} and also in the N=1 theory obtained by introducing chiral multiplet masses. In the N=4 case, these instanton…

High Energy Physics - Theory · Physics 2010-02-03 Nick Dorey , Andrei Parnachev

We compute instanton corrections to non-minimal correlation functions of chiral primary operators in the N=4 super Yang-Mills super-current multiplet. Using a representation in terms of Mellin integrals, we find that these corrections can…

High Energy Physics - Theory · Physics 2015-06-18 Massimo Bianchi , Andreas Brandhuber , Gabriele Travaglini , Congkao Wen

These lecture notes begin with a review of the first nonleading contributions to the derivative expansion of the M theory effective action compactified on a two-torus. The form of these higher-derivative interactions is shown to follow from…

High Energy Physics - Theory · Physics 2009-10-31 Michael B. Green

We study N=4 supersymmetric Yang-Mills (SYM) theory with gauge group SU(2) compactified to three dimensions on a circle of circumference beta. The eight fermion terms in the effective action on the Coulomb branch are determined exactly, for…

High Energy Physics - Theory · Physics 2010-11-19 Nick Dorey

We consider non-perturbative effects in the beta-deformed N=4 supersymmetric gauge theory in the context of the AdS/CFT correspondence. We concentrate on the correlators of the Yang-Mills operators which correspond to the lowest…

High Energy Physics - Theory · Physics 2009-11-11 George Georgiou , Valentin V. Khoze

In these lectures, which are written at an elementary and pedagogical level, we discuss general aspects of (single) instantons in SU(N_c) Yang-Mills theory, and then specialize to the case of N = 4 supersymmetry and the large N_c limit. We…

High Energy Physics - Theory · Physics 2009-10-31 A. V. Belitsky , S. Vandoren , P. van Nieuwenhuizen

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

The binary interaction of large size instantons in a SU(2) Yang-Mills theory is obtained from the one-loop effective action for the field strength. The instanton interaction is calculated as a function of the instanton separation and in…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. Langfeld , H. Reinhardt

In this letter we report on the computation of instanton-dominated correlation functions in supersymmetric YM theories on ALE spaces. Following the approach of Kronheimer and Nakajima, we explicitly construct the self-dual connection on ALE…

High Energy Physics - Theory · Physics 2009-10-28 M. Bianchi , F. Fucito , G. C. Rossi , M. Martellini

We study the four-point function of the lowest-lying half-BPS operators in the ${\cal N} =4$ $SU(N)$ super-Yang-Mills theory and its relation to the flat-space four-graviton amplitude in type IIB superstring theory. We work in a large-$N$…

High Energy Physics - Theory · Physics 2020-12-02 Shai M. Chester , Michael B. Green , Silviu S. Pufu , Yifan Wang , Congkao Wen

We consider the interaction between instantons and anti-instantons in four-dimensional N=4 super-Yang-Mills theory at large N and large 't Hooft coupling as described by D-instantons via AdS/CFT duality. We give an estimate of the strength…

High Energy Physics - Theory · Physics 2009-10-31 J. L. F. Barbon , A. Pasquinucci

This paper concerns instanton contributions to two-point correlation functions of BMN operators in N=4 supersymmetric Yang-Mills that vanish in planar perturbation theory. Two-point functions of operators with even numbers of fermionic…

High Energy Physics - Theory · Physics 2008-11-26 Michael B. Green , Stefano Kovacs , Aninda Sinha

We study, using ADHM construction, instanton effects in an ${\CN}=2$ superconformal $Sp(N)$ gauge theory, arising as effective field theory on a system of $N$ D-3-branes near an orientifold 7-plane and 8 D-7-branes in type I' string theory.…

High Energy Physics - Theory · Physics 2009-02-23 E. Gava , K. S. Narain , M. H. Sarmadi
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