English

Classical Exchange Algebra of the Superstring on S^5 with the AdS-time

High Energy Physics - Theory 2015-05-13 v2

Abstract

A classical exchange algebra of the superstring on S^5 with the AdS-time is shown on the light-like plane. To this end we use the geometrical method of which consistency is guaranteed by the classical Yang-Baxter equation. The Dirac method does not work, there being constraints which contain first-class and second-class and one can disentangle with each other keeping the isometry hardly.

Keywords

Cite

@article{arxiv.0709.3911,
  title  = {Classical Exchange Algebra of the Superstring on S^5 with the AdS-time},
  author = {Shogo Aoyama},
  journal= {arXiv preprint arXiv:0709.3911},
  year   = {2015}
}

Comments

12 pages, v2: argument on alternative representation of S^5 spherical functions added, typos corrected, one reference added, matches journal version