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We examine ADHM multi-instantons in the conformal N=2 supersymmetric Sp(N) gauge theory with one anti-symmetric tensor and four fundamental hypermultiplets. We argue that the ADHM construction and measure can also be deduced from purely…

High Energy Physics - Theory · Physics 2010-02-03 Timothy J. Hollowood

We present a systematic derivation of multi-instanton amplitudes in terms of ADHM equivariant cohomology. The results rely on a supersymmetric formulation of the localization formula for equivariant forms. We examine the cases of N=4 and…

High Energy Physics - Theory · Physics 2010-02-03 Ugo Bruzzo , Francesco Fucito , Jose F. Morales , Alessandro Tanzini

We present a self-contained study of ADHM multi-instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit. We give both field- and string-theoretic derivations of the N=4 supersymmetric…

High Energy Physics - Theory · Physics 2009-02-23 N. Dorey , T. J. Hollowood , V. V. Khoze , M. P. Mattis , S. Vandoren

We further discuss the N=2 superinstantons in SU(2) gauge theory, obtained from the general self-dual solutions of topological charge n constructed by Atiyah, Drinfeld, Hitchin and Manin (ADHM). We realize the N=2 supersymmetry algebra as…

High Energy Physics - Theory · Physics 2016-08-24 N. Dorey , V. V. Khoze , M. Mattis

We describe the modern formalism, ideas and applications of the instanton calculus for gauge theories with, and without, supersymmetry. Particular emphasis is put on developing a formalism that can deal with any number of instantons. This…

High Energy Physics - Theory · Physics 2014-11-18 Nick Dorey , Timothy J. Hollowood , Valentin V. Khoze , Michael P. Mattis

The Seiberg-Witten solution of N=2 supersymmetric SU(2) gauge theory may be viewed as a prediction for the infinite family of constants F_n measuring the n-instanton contribution to the prepotential F. Here we examine the instanton physics…

High Energy Physics - Theory · Physics 2016-08-24 N. Dorey , V. V. Khoze , M. P. Mattis

The effects of instantons close to the cut-off is studied in four dimensional SU(2) gauge theory with higher order derivative terms in the action. It is found in the framework of the dilute instanton gas approximation that the convergence…

High Energy Physics - Theory · Physics 2007-05-23 Vincenzo Branchina , Janos Polonyi

Following work on theories with SU(N) gauge groups, we perform a large-N saddle-point approximation of the measure for ADHM multi-instantons in N=4 supersymmetric gauge theories with symplectic or orthogonal gauge groups. For Sp(N) we find…

High Energy Physics - Theory · Physics 2016-09-06 Timothy J. Hollowood , Valentin V. Khoze , Michael P. Mattis

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

We propose explicit formulae for the integration measure on the moduli space of charge-n ADHM multi-instantons in N=1 and N=2 supersymmetric gauge theories. The form of this measure is fixed by its (super)symmetries as well as the physical…

High Energy Physics - Theory · Physics 2009-10-30 N. Dorey , V. V. Khoze , M. P. Mattis

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

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

We present a compendium of results for ADHM multi-instantons in SU(N) SUSY gauge theories, followed by applications to N=2 supersymmetric models. Extending recent SU(2) work, and treating the N=1 and N=2 cases in parallel, we construct: (i)…

High Energy Physics - Theory · Physics 2009-10-31 V. V. Khoze , M. P. Mattis , M. J. Slater

We extend the instanton calculus for N=1/2 U(2) supersymmetric gauge theory by including one massless flavor. We write the equations of motion at leading order in the coupling constant and we solve them exactly in the non(anti)commutativity…

High Energy Physics - Theory · Physics 2009-11-11 Simone Giombi , Riccardo Ricci , Daniel Robles-Llana , Diego Trancanelli

We study the non-perturbative effects induced by stringy instantons on N=2 SU}(N) gauge theories in four dimensions, realized on fractional D3 branes in a C^3/Z_3 orientifold. The stringy instantons, corresponding to D(-1) branes that…

High Energy Physics - Theory · Physics 2015-03-17 Hossein Ghorbani , Daniele Musso , Alberto Lerda

The role of instantons in describing non-perturbative aspects of globally supersymmetric gauge theories is reviewed. The cases of theories with N=1, N=2 and N=4 supersymmetry are discussed. Special attention is devoted to the intriguing…

High Energy Physics - Theory · Physics 2008-11-26 Massimo Bianchi , Stefano Kovacs , Giancarlo Rossi

This is a mini-review about generalized instantons of noncommutative gauge theories in dimensions 4, 6 and 8, with emphasis on their realizations in type II string theory, their geometric interpretations, and their applications to the…

High Energy Physics - Theory · Physics 2023-05-24 Richard J. Szabo , Michelangelo Tirelli

We study an extension of the ADHM construction to give deformed anti-self-dual (ASD) instantons in N=1/2 super Yang-Mills theory with U(n) gauge group. First we extend the exterior algebra on superspace to non(anti)commutative superspace…

High Energy Physics - Theory · Physics 2009-11-11 Takeo Araki , Tatsuhiko Takashima , Satoshi Watamura

Extending recent N=1 and N=2 results, we propose an explicit formula for the integration measure on the moduli space of charge-n ADHM multi-instantons in N=4 supersymmetric SU(2) gauge theory. As a consistency check, we derive a…

High Energy Physics - Theory · Physics 2009-10-30 N. Dorey , T. J. Hollowood , V. V. Khoze , M. P. Mattis

A recently proposed correspondence between 4-dimensional N=2 SUSY SU(k) gauge theories on R^4/Z_m and SU(k) Toda-like theories with Z_m parafermionic symmetry is used to construct four-point N=1 super Liouville conformal block, which…

High Energy Physics - Theory · Physics 2011-10-03 A. Belavin , V. Belavin , M. Bershtein
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