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In this paper we show how hypercomplex function theoretical objects can be used to construct explicitly self-dual SU(2)-Yang-Mills instanton solutions on certain classes of conformally flat 4-manifolds. We use a hypercomplex argument…

Complex Variables · Mathematics 2013-10-02 Rolf Soeren Krausshar , Jürgen Tolksdorf

We present a construction of self-dual Yang-Mills connections on the Taub-NUT space. We illustrate it by finding explicit expressions for all SU(2) instantons of instanton number one and generic monodromy at infinity.

High Energy Physics - Theory · Physics 2011-01-03 Sergey A. Cherkis

In this article we study the moduli space of conically singular instantons (or Hermitian Yang--Mills connections) with prescribed tangent connections over a 6-manifold equipped with an $\mathrm{SU}(3)$-structure. That is, we develop a…

Differential Geometry · Mathematics 2026-04-08 Dominik Gutwein , Yuanqi Wang

Several results on existence and convergence of the Yang-Mills flow in dimension four are given. We show that a singularity modeled on an instanton cannot form within finite time. Given low initial self-dual energy, we then study…

Differential Geometry · Mathematics 2016-10-12 Alex Waldron

We give the exact construction of Riemannian (or stringy) instantons, which are classical solutions of 2d Yang-Mills theories that interpolate between initial and final string configurations. They satisfy the Hitchin equations with special…

High Energy Physics - Theory · Physics 2008-11-26 L. Bonora , C. P. Constantinidis , L. A. Ferreira , E. E. Leite

By using the recursion relations found in the framework of N=2 Super Yang-Mills theory with gauge group SU(2), we reconstruct the structure of the instanton moduli space and its volume form for all winding numbers. The construction is…

High Energy Physics - Theory · Physics 2011-07-19 Marco Matone

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

Domain walls in supersymmetric Yang-Mills are BPS configurations which preserve two supercharges of the parent theory and so their tensions are known exactly. On the other hand, they have been described as D-branes for the confining string.…

High Energy Physics - Theory · Physics 2009-11-11 Adi Armoni , Timothy J. Hollowood

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

The analysis in previous publications of the instanton constraints required to produce a finite action of the theory is carried out also for N=2 supersymmetric Yang-Mills theory.

High Energy Physics - Theory · Physics 2007-05-23 N. K. Nielsen

We report results obtained for SU(2) Yang-Mills theory on a four dimensional torus with two directions much smaller than the other two. The small 2-torus is equipped with twisted boundary conditions. This construction provides a way to…

High Energy Physics - Lattice · Physics 2025-02-14 Georg Bergner , Antonio González-Arroyo , Ivan Soler

In this work, we study cosmological solutions of the 8-dimensional Einstein Yang-Mills theory coupled to a perfect-fluid matter. A Yang-Mills instanton of extra dimensions causes a 4-dimensional expanding universe with dynamical…

High Energy Physics - Theory · Physics 2023-08-28 Kyung Kiu Kim , Seoktae Koh , Gansukh Tumurtushaa

We construct and analyze D-branes in superstring theories in even dimensions less than ten. The backgrounds under study are supersymmetric R^{d-1,1} \times SL(2,R)_k / U(1) where the level of the supercoset is tuned such as to provide bona…

High Energy Physics - Theory · Physics 2014-11-18 Sujay K. Ashok , Sameer Murthy , Jan Troost

We consider the effective topological field theory on Euclidean D-strings wrapping on a 2-cycle in the internal space. We evaluate the vev of a suitable operator corresponding to the chemical potential of vortices bounded to the D-strings,…

High Energy Physics - Theory · Physics 2009-11-11 So Matsuura , Kazutoshi Ohta

We use the recursive structure of the compactification of the instanton moduli space of N=2 Super Yang-Mills theory with gauge group SU(2), to construct, by inductive limit, a universal moduli space which includes all the multi-instanton…

High Energy Physics - Theory · Physics 2009-11-07 Marco Matone

I review the main features of our model of the 4-dimensional Yang-Mills theory vacuum as a liquid of fractional instantons. The model provides a possible microscopic mechanism for Confinement in four dimensional Yang-Mills theory at $T=0$.…

High Energy Physics - Theory · Physics 2023-02-27 Antonio Gonzalez-Arroyo

We study the effects produced by D-brane instantons on the holomorphic quantities of a D-brane gauge theory at an orbifold singularity. These effects are not limited to reproducing the well known contributions of the gauge theory instantons…

High Energy Physics - Theory · Physics 2009-11-13 Riccardo Argurio , Matteo Bertolini , Gabriele Ferretti , Alberto Lerda , Christoffer Petersson

It is well-known that the standard instanton analysis in 4d Yang-Mills is plagued with the instanton size moduli problem, which renders the instanton contribution to vacuum energy density (or one-instanton partition function) infrared…

High Energy Physics - Theory · Physics 2025-09-12 Mendel Nguyen , Mithat Ünsal

Non-perturbative features of the derivative expansion of the effective action of a single D3-brane are obtained by considering scattering amplitudes of open and closed strings. This motivates expressions for the coupling constant dependence…

High Energy Physics - Theory · Physics 2014-11-18 Michael B. Green , Michael Gutperle

We show that B-type $\Pi$-stable D-branes do not in general reduce to the (Gieseker-) stable holomorphic vector bundles used in mathematics to construct moduli spaces. We show that solutions of the almost Hermitian Yang--Mills equations for…

High Energy Physics - Theory · Physics 2009-11-10 H. Enger , C. A. Lütken