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We systematically construct and study smooth supersymmetric solutions in 5 dimensional N=1 Yang-Mills-Einstein supergravity. Our solution is based on the ADHM construction of (dyonic) multi-instantons in Yang-Mills theory, which extends to…

High Energy Physics - Theory · Physics 2007-12-04 Seok Kim , Sungjay Lee

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 show that the resolution of moduli space of ideal instantons parameterizes the instantons on non-commutative $\IR^{4}$. This moduli space appears as a Higgs branch of the theory of $k$ $D0$-branes bound to $N$ $D4$-branes by the…

High Energy Physics - Theory · Physics 2009-10-31 N. Nekrasov , A. Schwarz

We consider generalized self-duality equations for U(2r) Yang-Mills theory on R^{4k} with quaternionic structure and self-dual Moyal deformation. We employ the extended ADHM method in 4k dimensions to construct new noncommutative…

High Energy Physics - Theory · Physics 2008-11-26 Johannes Broedel , Tatiana A. Ivanova , Olaf Lechtenfeld

We present several different classes of selfdual Yang-Mills instantons in all even d backgrounds with Euclidean signature. In d=4p+2 the only solutions we found are on constant curvature dS and AdS backgrounds, and are evaluated in closed…

High Energy Physics - Theory · Physics 2008-11-26 Eugen Radu , D. H. Tchrakian , Yisong Yang

We consider Ward's generalized self-duality equations for U(2r) Yang-Mills theory on R^{4k} and their Moyal deformation under self-dual noncommutativity. Employing an extended ADHM construction we find two kinds of explicit solutions, which…

High Energy Physics - Theory · Physics 2010-04-05 Tatiana A. Ivanova , Olaf Lechtenfeld

This paper is devoted to the construction of a family of linear sigma models with $(0,4)$ supersymmetry which should flow in the infrared to the stringy version of Yang-Mills instantons on ${\bf R}^4$. The family depends on the full set of…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

Open superstring field theory admits a "hybrid" formulation where N = 1 D = 4 supersymmetry is manifest for Calabi-Yau compactifications to four dimensions. Using this formulation, the half-BPS instanton solution of four-dimensional…

High Energy Physics - Theory · Physics 2022-09-21 Nathan Berkovits , Vilson Fabricio Juliatto , Ulisses M. Portugal

ADHM Yang-Mills instantons are extended field theoretical objects. These are more general than the more familiar 't Hooft Yang-Mills instantons. Their counter parts exist in string theory in terms of sigma models. Nearly three decades ago…

High Energy Physics - Theory · Physics 2025-08-01 Abbas Ali , Mohsin Ilahi , P. P. Abdul Salih , Shafeeq Rahman Thottoli

We consider the non-abelian self-dual two-form theory arXiv:1203.4224 and find new exact solutions. Our solutions are supported by Yang-Mills (anti)instantons in 4-dimensions and describe wave moving in null directions. We argue and provide…

High Energy Physics - Theory · Physics 2015-06-16 Chong-Sun Chu , Hiroshi Isono

We consider the self-dual Yang-Mills equations in seven dimensions. Modifying the t'Hooft construction of instantons in $d=4$, we find $N$-instanton $7d$ solutions which depend on $8N$ effective parameters and are $E_{6}$-invariant.

High Energy Physics - Theory · Physics 2009-11-11 E. K. Loginov

The arcane ADHM construction of Yang-Mills instantons can be very naturally understood in the framework of D-brane dynamics in string theory. In this point-of-view, the mysterious auxiliary symmetry of the ADHM construction arises as a…

High Energy Physics - Theory · Physics 2007-05-23 Nick Dorey , Timothy J. Hollowood , Valentin V. Khoze

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

We discuss instantons in dimensions higher than four. A generalized self-dual or anti-self-dual instanton equation in n-dimensions can be defined in terms of a closed (n-4) form $\Omega$ and it was recently employed as a topological gauge…

High Energy Physics - Theory · Physics 2008-11-26 H. Kanno

Instantons in massless theories do not carry over to massive theories due to Derrick's theorem. This theorem can, however, be circumvented, if a constraint that restricts the scale of the instanton is imposed on the theory. Constrained…

High Energy Physics - Theory · Physics 2008-11-26 Morten Nielsen , N. K. Nielsen

Subjecting the SU(2) Yang--Mills system to azimuthal symmetries in both the $x-y$ and the $z-t$ planes results in a residual subsystem described by a U(1) Higgs like model with two complex scalar fields on the quarter plane. The resulting…

High Energy Physics - Theory · Physics 2008-11-26 Eugen Radu , D. H. Tchrakian

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 study the relationship between instanton counting in N=4 Yang-Mills theory on a generic four-dimensional toric orbifold and the semi-classical expansion of q-deformed Yang-Mills theory on the blowups of the minimal resolution of the…

High Energy Physics - Theory · Physics 2008-11-26 Luca Griguolo , Domenico Seminara , Richard J. Szabo , Alessandro Tanzini

We investigate the differential geometry of the moduli space of instantons on S^3 x S^1. Extending previous results, we show that a sigma-model with this target space can be expected to possess a large N=4 superconformal symmetry,…

High Energy Physics - Theory · Physics 2024-12-23 Edward Witten

A large class of equivalence relations between the moduli spaces of instantons on ALE spaces and the Higgs branches of supersymmetric Yang-Mills theories, are found by means of a certain kind of duality transformation between brane…

High Energy Physics - Theory · Physics 2007-05-23 Kei Ito