English

Complex structures and zero-curvature equations for sigma-models

High Energy Physics - Theory 2016-08-03 v1 Mathematical Physics Differential Geometry math.MP

Abstract

We construct zero-curvature representations for the equations of motion of a class of sigma-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.

Keywords

Cite

@article{arxiv.1605.01093,
  title  = {Complex structures and zero-curvature equations for sigma-models},
  author = {Dmitri Bykov},
  journal= {arXiv preprint arXiv:1605.01093},
  year   = {2016}
}

Comments

8 pages

R2 v1 2026-06-22T13:52:41.221Z