English

Separation of variables in the WZW models

High Energy Physics - Theory 2021-07-07 v1

Abstract

We consider dynamics of scalar and vector fields on gravitational backgrounds of the Wess-Zumino-Witten models. For SO(4) and its cosets, we demonstrate full separation of variables for all fields and find a close analogy with a similar separation of vector equations in the backgrounds of the Myers--Perry black holes. For SO(5) and higher groups separation of variables is found only in some subsectors.

Keywords

Cite

@article{arxiv.2012.15083,
  title  = {Separation of variables in the WZW models},
  author = {Oleg Lunin and Jia Tian},
  journal= {arXiv preprint arXiv:2012.15083},
  year   = {2021}
}

Comments

62 pages

R2 v1 2026-06-23T21:35:27.841Z