English

Flag manifold sigma-models: the 1/N-expansion and the anomaly two-form

High Energy Physics - Theory 2019-03-27 v1

Abstract

We construct a gauged linear sigma-model representation and develop a 1/N-expansion for flag manifold sigma-models previously proposed by the author. Classically there exists a zero-curvature representation for the equations of motion of these models, which leads in particular to the existence of a conserved non-local charge. We show that at the quantum level this charge is no longer conserved and calculate explicitly the anomaly in its conservation law.

Keywords

Cite

@article{arxiv.1901.02861,
  title  = {Flag manifold sigma-models: the 1/N-expansion and the anomaly two-form},
  author = {Dmitri Bykov},
  journal= {arXiv preprint arXiv:1901.02861},
  year   = {2019}
}

Comments

62 pages, 14 figures