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We present a novel approach to the study of Yang-Mills instantons on quaternionic K\"ahler manifolds, based on an extension of the harmonic space method of constructing instantons on hyperk\"ahler manifolds. Our results establish a…

Differential Geometry · Mathematics 2020-02-04 Chandrashekar Devchand , Massimiliano Pontecorvo , Andrea Spiro

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

Multi-instanton solutions in the eight and seven dimensional Yang-Mills fields theory is obtained. Extended-soliton solutions to the low-energy heterotic-field-theory equations of motion is constructed from this higher-dimensional…

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

The simplest and the most straightforward new algorithm for generating solutions to (anti) self-dual Yang-Mills (YM) equation in the typical gravitational instanton backgrounds is proposed. When applied to the Taub-NUT and the Eguchi-Hanson…

High Energy Physics - Theory · Physics 2009-10-31 Hongsu Kim , Yongsung Yoon

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

We present arguments for the existence of self-dual Yang-Mills instantons for several spherically symmetric backgrounds with Euclidean signature. The time-independent Yang-Mills field has finite action and a vanishing energy momentum tensor…

High Energy Physics - Theory · Physics 2009-11-11 Yves Brihaye , Eugen Radu

We consider a dimensional reduction of the (deformed) Hermitian Yang-Mills condition on $S^1$-invariant K\"ahler Einstein $6$-manifolds. This allows us to reformulate the (deformed) Hermitian Yang-Mills equations in terms of data on the…

Differential Geometry · Mathematics 2024-10-30 Udhav Fowdar

In Yang-Mills theory on a Euclidean Cauchy surface, the physical gauge group is often taken to be $\mathcal{G}^I/\mathcal{G}^\infty_0$, where $\mathcal{G}^I$ consists of boundary-preserving gauge transformations asymptoting to a constant,…

Mathematical Physics · Physics 2026-04-20 Silvester Borsboom , Hessel Posthuma

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 investigate instantons on manifolds with Killing spinors and their cones. Examples of manifolds with Killing spinors include nearly Kaehler 6-manifolds, nearly parallel G_2-manifolds in dimension 7, Sasaki-Einstein manifolds, and…

High Energy Physics - Theory · Physics 2015-03-19 Derek Harland , Christoph Nölle

We use string duality to describe instanton induced spontaneous supersymmetry breaking in string compactifications with additional background fields. Dynamical supersymmetry breaking by space-time instantons in the heterotic string theory…

High Energy Physics - Theory · Physics 2014-11-18 P. Mayr

We study the converse to the statement that instantons are minimizers of the Yang--Mills energy in four dimensions. We show that given an energy minimizing connection, A, the curvature of A takes values in a subbundle of the adjoint bundle…

Differential Geometry · Mathematics 2008-08-17 Mark A. Stern

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

In this paper we consider the role that worldsheet instantons in the heterotic string could play in spin-statistics violations. Such violations are nonperturbative in the string tension and so would not appear in the spacetime effective…

High Energy Physics - Theory · Physics 2008-11-26 Mark G. Jackson

We show that every gravitational instantons are SU(2) Yang-Mills instantons on a Ricci-flat four manifold although the reverse is not necessarily true. It is shown that gravitational instantons satisfy exactly the same self-duality equation…

High Energy Physics - Theory · Physics 2011-04-28 John J. Oh , Chanyong Park , Hyun Seok Yang

Five-dimensional $\mathcal{N}=1$ supersymmetric Yang-Mills theories are investigated from the viewpoint of random plane partitions. It is shown that random plane partitions are factorizable as q-deformed random partitions so that they admit…

High Energy Physics - Theory · Physics 2009-11-10 Takashi Maeda , Toshio Nakatsu , Kanehisa Takasaki , Takeshi Tamakoshi

In this work we study the dimensional reduction of smooth circle invariant Yang-Mills instantons defined on 4-manifolds which are non-trivial circle fibrations over hyperbolic 3-space. A suitable choice of the 4-manifold metric within a…

High Energy Physics - Theory · Physics 2016-09-23 Guido Franchetti , Rafael Maldonado

In these notes Yang-Mills theories in 1+1 dimensions are reviewed. Instantons on a sphere prove to be -in the decompactification limit- the key issue to clarify an old controversy between equal-time and light-front quantization.

High Energy Physics - Theory · Physics 2007-05-23 A. Bassetto , L. Griguolo , F. Vian

Many quantum field theories in one, two and four dimensions possess remarkable limits in which the instantons are present, the anti-instantons are absent, and the perturbative corrections are reduced to one-loop. We analyze the…

High Energy Physics - Theory · Physics 2007-05-23 E. Frenkel , A. Losev , N. Nekrasov

Using spinorial geometry techniques, we classify the supersymmetric solutions of euclidean ${\cal N}=4$ super Yang-Mills theory. These backgrounds represent generalizations of instantons with nontrivial scalar fields turned on, and satisfy…

High Energy Physics - Theory · Physics 2009-10-20 Stephane Detournay , Dietmar Klemm , Carlo Pedroli
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