Complex structures and zero-curvature equations for σ-models

We construct zero-curvature representations for the equations of motion of a class of σ-models with complex homogeneous target spaces, not necessarily symmetric. We show that in the symmetric case the proposed flat connection is gauge-equivalent to the conventional one.

Bibliographic Details
Main Author: Dmitri Bykov
Format: Article
Language:English
Published: Elsevier 2016-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269316303318
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spelling doaj-7c2537c751d14c258442423f083dbb9e2020-11-24T20:51:05ZengElsevierPhysics Letters B0370-26931873-24452016-09-01760C34134410.1016/j.physletb.2016.06.071Complex structures and zero-curvature equations for σ-modelsDmitri Bykov0Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Potsdam-Golm, GermanyWe construct zero-curvature representations for the equations of motion of a class of σ-models with complex homogeneous target spaces, not necessarily symmetric. We show that in the symmetric case the proposed flat connection is gauge-equivalent to the conventional one.http://www.sciencedirect.com/science/article/pii/S0370269316303318
collection DOAJ
language English
format Article
sources DOAJ
author Dmitri Bykov
spellingShingle Dmitri Bykov
Complex structures and zero-curvature equations for σ-models
Physics Letters B
author_facet Dmitri Bykov
author_sort Dmitri Bykov
title Complex structures and zero-curvature equations for σ-models
title_short Complex structures and zero-curvature equations for σ-models
title_full Complex structures and zero-curvature equations for σ-models
title_fullStr Complex structures and zero-curvature equations for σ-models
title_full_unstemmed Complex structures and zero-curvature equations for σ-models
title_sort complex structures and zero-curvature equations for σ-models
publisher Elsevier
series Physics Letters B
issn 0370-2693
1873-2445
publishDate 2016-09-01
description We construct zero-curvature representations for the equations of motion of a class of σ-models with complex homogeneous target spaces, not necessarily symmetric. We show that in the symmetric case the proposed flat connection is gauge-equivalent to the conventional one.
url http://www.sciencedirect.com/science/article/pii/S0370269316303318
work_keys_str_mv AT dmitribykov complexstructuresandzerocurvatureequationsforsmodels
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