Strings in extremal BTZ black holes

Details Strings in extremal BTZ black holes Strings in extremal BTZ black holes

2009-01-20

arxiv.org/abs/0901.3044v1

JHEP 0904:134,2009

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, no figures

Scientific paper

10.1088/1126-6708/2009/04/134

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.

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