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We construct octonionic multi-instantons for the eight and seven dimensional Yang-Mills theory. Extended soliton solutions to the low-energy heterotic field theory equations of motion are constructed from these octonionic multi-instantons.…

High Energy Physics - Theory · Physics 2008-12-19 E. K. Loginov

Instantons play a crucial role in understanding non-perturbative dynamics in quantum field theories, including those with spontaneously broken gauge symmetries. In the broken phase, finite-size instanton-like configurations are no longer…

High Energy Physics - Theory · Physics 2026-04-06 Takafumi Aoki , Masahiro Ibe , Satoshi Shirai

We study D-instanton solutions in type IIB supergravity on $AdS_5\times T^{1,1}$, which has a dual ${\cal N}=1$ $SU(N)\times SU(N)$ super Yang-Mills theory. Apart from ordinary D(-1)-brane instantons, we discuss wrapped D1-branes over…

High Energy Physics - Theory · Physics 2016-05-04 Ali Imaanpur

Our goal is to discover possible new 4-dimensional euclidean solutions (instantons) in fundamental SU(2) Yang-Mills-Higgs theory, with a constraint added to prevent collapse of the scale. We show that, most likely, there exists one…

High Energy Physics - Phenomenology · Physics 2009-10-22 F. R. Klinkhamer

We describe various approaches that give matrix descriptions of compactified NS five-branes. As a result, we obtain matrix models for Yang-Mills theories with sixteen supersymmetries in dimensions $2,3,4$ and 5. The equivalence of the…

High Energy Physics - Theory · Physics 2010-02-03 Ori J. Ganor , Savdeep Sethi

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

In both Yang-Mills theories and sigma models, instantons are endowed with degrees of freedom associated to their scale size and orientation. It has long been conjectured that these degrees of freedom have a dual interpretation as the…

High Energy Physics - Theory · Physics 2009-08-11 Benjamin Collie , David Tong

We study the two-centred AdS_7 x S^4 solution of eleven-dimensional supergravity using the Euclidean path-integral approach, and find that it can be interpreted as an instanton, signalling the splitting of the throat of the M5 brane. The…

High Energy Physics - Theory · Physics 2009-11-07 Selena Ng , Malcolm Perry

This article investigates a set of partial differential equations, the DT-instanton equations, whose solutions can be regarded as a generalization of the notion of Hermitian-Yang-Mills connections. These equations owe their name to the hope…

Differential Geometry · Mathematics 2021-11-03 Gavin Ball , Goncalo Oliveira

We investigate Yang-Mills instantons on a 7-dimensional manifold of G_2 holonomy. By proposing a spherically symmetric ansatz for the Yang-Mills connection, we have ordinary differential equations as the reduced instanton equation, and give…

High Energy Physics - Theory · Physics 2010-11-19 S. Miyagi

The SU(4)-instanton equations are natural BPS equations for instantons on 8-manifolds. We study these equations on nearly Kaehler and Calabi-Yau torsion manifolds of the form M x G/H, with G/H a coset space and M a product of a torus with…

High Energy Physics - Theory · Physics 2012-02-28 Derek Harland , Alexander D. Popov

We discuss the physics of D-branes and D-brane instantons intersecting at angles, focusing on the (non)generation of a superpotential in the worldvolume theory of the branes. This is a short review of the results in arXiv:0905.1694, where…

High Energy Physics - Theory · Physics 2015-05-14 Mirjam Cvetič , Iñaki García-Etxebarria , Robert Richter

A formulation of new six-dimensional theories with (1,0) supersymmetry and E_8 global symmetry is proposed. The model is based on the large n theory describing n D-strings interacting with parallel D-fivebranes in Type I string theory.

High Energy Physics - Theory · Physics 2009-10-30 David A. Lowe

An Einstein manifold in four dimensions has some configuration of $SU(2)_+$ Yang-Mills instantons and $SU(2)_-$ anti-instantons associated with it. This fact is based on the fundamental theorems that the four-dimensional Lorentz group…

High Energy Physics - Theory · Physics 2022-03-10 Jongmin Park , Jaewon Shin , Hyun Seok Yang

On an oriented, compact, connected, real four-dimensional manifold, $M$, we introduce a topological Lagrangian gauge field theory with a Bogomol'nyi structure that leads to non-singular, finite-Action, stable solutions to the variational…

High Energy Physics - Theory · Physics 2008-02-03 M. Temple-Raston

The known calculations of the fermion condensate $<\bar{\psi}\psi>$ and the correlator $<\bar{\psi}\psi(x) ~\bar{\psi}\psi(0)>$ have been interpreted in terms of {\em localized} instanton solutions minimizing the {\em effective} action.…

High Energy Physics - Theory · Physics 2009-09-25 A. V. Smilga

Supersymmetric instanton solutions in four dimensional Euclidean ungauged Einstein-Maxwell theory are analysed and classified according to the fraction of supersymmetry they preserve, using spinorial geometry techniques.

High Energy Physics - Theory · Physics 2014-11-21 J. B. Gutowski , W. A. Sabra

We analyze the instanton transitions in the framework of the gauge invariant variational calculation in the pure Yang-Mills theory. Instantons are identified with the saddle points in the integration over the gauge group which projects the…

High Energy Physics - Phenomenology · Physics 2016-08-25 William E. Brown , Juan P. Garrahan , Ian I. Kogan , Alex Kovner

I explain how to construct noncommutative BPS configurations in four and lower dimensions by solving linear matrix equations. Examples are instantons in D=4 Yang-Mills, monopoles in D=3 Yang-Mills-Higgs, and (moving) solitons in D=2+1…

High Energy Physics - Theory · Physics 2009-11-10 Olaf Lechtenfeld

We derive the precise relation between level matching condition and fractional instanton numbers in six dimensional, abelian and supersymmetric orbifolds of E8 x E8 heterotic string theory. The fractional part of the two E8 instanton…

High Energy Physics - Theory · Physics 2009-10-31 Jan O. Conrad