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A self-consistent ansatz is presented for a four-dimensional euclidean solution (instanton) in the vacuum sector of constrained SU(2) Yang-Mills-Higgs theory.

High Energy Physics - Phenomenology · Physics 2015-06-25 F. R. Klinkhamer , J. Weller

We explore the correspondence between Yang-Mills instantons and algebraic curves. The curve is defined by Higgs zero locus of dyonic instantons in 1+4 dimensional Yang-Mills-Higgs theory, and it is identified in string theory with the…

High Energy Physics - Theory · Physics 2010-10-27 Heng-Yu Chen , Minoru Eto , Koji Hashimoto

We study supersymmetric quantum mechanics on the moduli space of Yang-Mills instantons on R^2 x T^2 and its application to the discrete light-cone quantisation (DLCQ) of N=4 SUSY Yang-Mills. In the presence of a target space magnetic field,…

High Energy Physics - Theory · Physics 2014-12-18 Nick Dorey , Andrew Singleton

We construct nearly topological Yang-Mills theories on eight dimensional manifolds with a special holonomy group. These manifolds are the Joyce manifold with $Spin(7)$ holonomy and the Calabi-Yau manifold with SU(4) holonomy. An invariant…

High Energy Physics - Theory · Physics 2016-11-03 L. Baulieu , H. Kanno , I. M. Singer

We construct the n-instanton action for the above model with gauge group SU(2), as a function of the collective coordinates of the general self-dual configurations of Atiyah, Drinfeld, Hitchin and Manin (ADHM). We calculate the quantum…

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

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

We explore the low energy dynamics of charge two instantons and dyonic instantons in SU(2) 5-dimensional Yang-Mills. We make use of the moduli space approximation and first calculate the moduli space metric for two instantons. For dyonic…

High Energy Physics - Theory · Physics 2015-06-11 James P. Allen , Douglas J. Smith

We study the moduli spaces of self-dual instantons on CP^2 in a simple group G. When G is a classical group, these instanton solutions can be realised using ADHM-like constructions which can be naturally embedded into certain three…

High Energy Physics - Theory · Physics 2015-05-20 Noppadol Mekareeya , Diego Rodriguez-Gomez

We examine the dynamics of noncommutative instantons of instanton number $2$ and commutative instantons of instanton number $3$ in 5d Super Yang Mills theory. We begin by detailing the construction of the 1/4-BPS instanton solutions, their…

High Energy Physics - Theory · Physics 2022-08-17 Douglas J. Smith , Calum J. Robson , Joseph F. Farrow

Some BPS quantities of $\mathcal{N}=1$ 5D quiver gauge theories, like instanton partition functions or qq-characters, can be constructed as algebraic objects of the Ding-Iohara-Miki (DIM) algebra. This construction is applied here to…

High Energy Physics - Theory · Physics 2019-01-09 Jean-Emile Bourgine , Kilar Zhang

Yang-Mills instantons are solitonic particles in d=4+1 dimensional gauge theories. We construct and analyse the quantum Hall states that arise when these particles are restricted to the lowest Landau level. We describe the ground state…

High Energy Physics - Theory · Physics 2018-05-09 Alec Barns-Graham , Nick Dorey , Nakarin Lohitsiri , David Tong , Carl Turner

We construct new finite energy regular solutions in Einstein-Yang-Mills-SU(2) theory. They are static, axially symmetric and approach at infinity the anti-de Sitter spacetime background. These configurations are characterized by a pair of…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Olga Kichakova , Jutta Kunz , Eugen Radu , Yasha Shnir

We study the ADHM construction of instantons in N=2 supersymmetric Yang-Mills theory deformed in constant Ramond-Ramond (R-R) 3-form field strength background in type IIB superstrings. We compare the deformed instanton effective action with…

High Energy Physics - Theory · Physics 2009-01-14 Katsushi Ito , Hiroaki Nakajima , Shin Sasaki

We revisit the problem of constructing instantons on ADE orbifolds R^4/\Gamma and point out some subtle relations with the complex structure on the orbifold. We consider generalized instanton equations on R^4/\Gamma which are BPS equations…

High Energy Physics - Theory · Physics 2013-12-04 Tatiana A. Ivanova , Olaf Lechtenfeld , Alexander D. Popov , Richard J. Szabo

We describe the conditions for extra supersymmetry in N=(2,2) supersymmetric nonlinear sigma models written in terms of semichiral superfields. We find that some of these models have additional off-shell supersymmetry. The (4,4)…

High Energy Physics - Theory · Physics 2014-11-20 M. Goteman , U. Lindstrom , M. Rocek , Itai Ryb

It has been proposed by Atiyah and Manton that the dynamics of Skyrmions may be approximated by motion on a finite dimensional manifold obtained from the moduli space of SU(2) Yang-Mills instantons. Motivated by this work we describe how…

High Energy Physics - Theory · Physics 2009-10-28 Paul Sutcliffe

We explore maximally supersymmetric Yang-Mills theory with walls of impurities respecting half of the supersymmetries. The walls carry fundamental or bifundamental matter multiplets. We employ three-dimensional N=2 superspace language to…

High Energy Physics - Theory · Physics 2011-08-17 Sergey A. Cherkis , Clare O'Hara , Christian Saemann

We formulate maximally supersymmetric Yang-Mills theory in five dimensions in light-cone superspace. The light-cone Hamiltonian is of the quadratic form and the theory can be understood as an oxidation of the N=4 Super Yang-Mills Theory in…

High Energy Physics - Theory · Physics 2010-12-16 Lars Brink , Sung-Soo Kim

We introduce the supersymmetric version of YM-like theories with infinitely many spin fields in 4 dimension. The construction is carried out via the superfield method. The surprising feature of these models is that they describe in…

High Energy Physics - Theory · Physics 2020-12-18 Loriano Bonora , Stefano Giaccari

We discuss the quantization of the ADHM sigma model. We show that the only quantum contributions to the effective theory come from the chiral anomalies and compute the first and second order terms. Finally the limit of vanishing instanton…

High Energy Physics - Theory · Physics 2009-10-28 N. D. Lambert
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