English

Killing scalar of non-linear sigma models on G/H realizing the classical exchange algebra

High Energy Physics - Theory 2015-06-19 v2

Abstract

The Poisson brackets for non-linear sigma models on G/H are set up on the light-like plane. A quantity which transforms irreducibly by the Killing vectors, called Killing scalar, is constructed in an arbitrary representation of G. It is shown to satisfy the classical exchange algebra.

Keywords

Cite

@article{arxiv.1405.4638,
  title  = {Killing scalar of non-linear sigma models on G/H realizing the classical exchange algebra},
  author = {Shogo Aoyama},
  journal= {arXiv preprint arXiv:1405.4638},
  year   = {2015}
}

Comments

11 pages, v2: version shortened removing the review part