Black Holes in String Theory;
Tachyon Condensation;
Conformal Field Models in String Theory;
AdS-CFT Correspondence;
GHOST-FREE;
WZW MODEL;
SPECTRUM;
SL(2;
R);
SPACETIME;
GEOMETRY;
D O I:
10.1088/1126-6708/2009/04/134
中图分类号:
O412 [相对论、场论];
O572.2 [粒子物理学];
学科分类号:
摘要:
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.