English

Strings in extremal BTZ black holes

High Energy Physics - Theory 2010-01-15 v1

Abstract

We study the spectrum of the worldsheet theory of the bosonic closed string in the massless and extremal rotating BTZ black holes. We use a hyperbolic Wakimoto representation of the SL(2,R) currents to construct vertex operators for the string modes on these backgrounds. We argue that there are tachyons in the twisted sector, but these are not localised near the horizon. We study the relation to the null orbifold in the limit of vanishing cosmological constant. We also discuss the problem of extending this analysis to the supersymmetric case.

Keywords

Cite

@article{arxiv.0901.3044,
  title  = {Strings in extremal BTZ black holes},
  author = {Jamie Parsons and Simon F. Ross},
  journal= {arXiv preprint arXiv:0901.3044},
  year   = {2010}
}

Comments

20 pages, no figures

R2 v1 2026-06-21T12:02:48.883Z