English

Flag manifold sigma-models and nilpotent orbits

High Energy Physics - Theory 2020-10-01 v1 Mathematical Physics Differential Geometry math.MP

Abstract

In the present paper we study flag manifold sigma-models that admit a zero-curvature representation. It is shown that these models may be naturally considered as interacting (holomorphic and anti-holomorphic) βγ\beta\gamma-systems. Besides, using the theory of nilpotent orbits of complex Lie groups, we establish a relation to the principal chiral model.

Cite

@article{arxiv.1911.07768,
  title  = {Flag manifold sigma-models and nilpotent orbits},
  author = {Dmitri Bykov},
  journal= {arXiv preprint arXiv:1911.07768},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T12:19:31.576Z