Yang–Mills solutions and dyons on cylinders over coset spaces with Sasakian structure

Yang–Mills solutions and dyons on cylinders over coset spaces with Sasakian structure

We present solutions of the Yang–Mills equation on cylinders R×G/H over coset spaces of odd dimension 2m+1 with Sasakian structure. The gauge potential is assumed to be SU(m)-equivariant, parameterized by two real, scalar-valued functions. Yang–Mills theory with torsion in this setup reduces to the...

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Main Author: Maike Tormählen
Format: Article
Language:English
Published: Elsevier 2016-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321315003880
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spelling doaj-81ae797cc8d1490d90358d279e9a24642020-11-24T23:17:16ZengElsevierNuclear Physics B0550-32131873-15622016-01-01902C16218510.1016/j.nuclphysb.2015.11.013Yang–Mills solutions and dyons on cylinders over coset spaces with Sasakian structureMaike TormählenWe present solutions of the Yang–Mills equation on cylinders R×G/H over coset spaces of odd dimension 2m+1 with Sasakian structure. The gauge potential is assumed to be SU(m)-equivariant, parameterized by two real, scalar-valued functions. Yang–Mills theory with torsion in this setup reduces to the Newtonian mechanics of a point particle moving in R2 under the influence of an inverted potential. We analyze the critical points of this potential and present an analytic as well as several numerical finite-action solutions. Apart from the Yang–Mills solutions that constitute SU(m)-equivariant instanton configurations, we construct periodic sphaleron solutions on S1×G/H and dyon solutions on iR×G/H.http://www.sciencedirect.com/science/article/pii/S0550321315003880
collection DOAJ
language English
format Article
sources DOAJ
author Maike Tormählen
spellingShingle Maike Tormählen
Yang–Mills solutions and dyons on cylinders over coset spaces with Sasakian structure
Nuclear Physics B
author_facet Maike Tormählen
author_sort Maike Tormählen
title Yang–Mills solutions and dyons on cylinders over coset spaces with Sasakian structure
title_short Yang–Mills solutions and dyons on cylinders over coset spaces with Sasakian structure
title_full Yang–Mills solutions and dyons on cylinders over coset spaces with Sasakian structure
title_fullStr Yang–Mills solutions and dyons on cylinders over coset spaces with Sasakian structure
title_full_unstemmed Yang–Mills solutions and dyons on cylinders over coset spaces with Sasakian structure
title_sort yang–mills solutions and dyons on cylinders over coset spaces with sasakian structure
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2016-01-01
description We present solutions of the Yang–Mills equation on cylinders R×G/H over coset spaces of odd dimension 2m+1 with Sasakian structure. The gauge potential is assumed to be SU(m)-equivariant, parameterized by two real, scalar-valued functions. Yang–Mills theory with torsion in this setup reduces to the Newtonian mechanics of a point particle moving in R2 under the influence of an inverted potential. We analyze the critical points of this potential and present an analytic as well as several numerical finite-action solutions. Apart from the Yang–Mills solutions that constitute SU(m)-equivariant instanton configurations, we construct periodic sphaleron solutions on S1×G/H and dyon solutions on iR×G/H.
url http://www.sciencedirect.com/science/article/pii/S0550321315003880
work_keys_str_mv AT maiketormahlen yangmillssolutionsanddyonsoncylindersovercosetspaceswithsasakianstructure
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