Lovelock type gravity and small black holes in heterotic string theory

Details Lovelock type gravity and small black holes in heterotic string theory Lovelock type gravity and small black holes in heterotic string theory

2005-11-30

arxiv.org/abs/hep-th/0511306v1

JHEP0602:039,2006

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, JHEP style

Scientific paper

10.1088/1126-6708/2006/02/039

We analyze near horizon behavior of small D-dimensional 2-charge black holes by modifying tree level effective action of heterotic string with all extended Gauss-Bonnet densities. We show that there is a nontrivial and unique choice of parameters, independent of D, for which the black hole entropy in any dimension is given by 4\pi\sqrt{nw}, which is exactly the statistical entropy of 1/2-BPS states of heterotic string compactified on T^{9-D}\times S^1 with momentum n and winding w. This extends the results of Sen [JHEP 0507 (2005) 073] to all dimensions. We also show that our Lovelock type action belongs to the more general class of actions sharing the simmilar behaviour on the AdS_2\times S^{D-2} near horizon geometry.

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