English

Complex structure-induced deformations of sigma-models

High Energy Physics - Theory 2017-04-26 v1 Differential Geometry

Abstract

We describe a deformation of the principal chiral model (with an even-dimensional target space G) by a B-field proportional to the K\"ahler form on the target space. The equations of motion of the deformed model admit a zero-curvature representation. As a simplest example, we consider the case of G=S^1 x S^3. We also apply a variant of the construction to a deformation of the AdS_3 x S^3 x S^1 (super-)sigma-model.

Keywords

Cite

@article{arxiv.1611.07116,
  title  = {Complex structure-induced deformations of sigma-models},
  author = {Dmitri Bykov},
  journal= {arXiv preprint arXiv:1611.07116},
  year   = {2017}
}

Comments

25 pages

R2 v1 2026-06-22T17:00:08.804Z