Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-08-08
JHEP 0603:008,2006
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 23 pages; v2: references added; v3: minor addition; v4: minor changes
Scientific paper
10.1088/1126-6708/2006/03/008
We use the entropy function formalism to study the effect of the Gauss-Bonnet term on the entropy of spherically symmetric extremal black holes in heterotic string theory in four dimensions. Surprisingly the resulting entropy and the near horizon metric, gauge field strengths and the axion-dilaton field are identical to those obtained by Cardoso et. al. for a supersymmetric version of the theory that contains Weyl tensor squared term instead of the Gauss-Bonnet term. We also study the effect of holomorphic anomaly on the entropy using our formalism. Again the resulting attractor equations for the axion-dilaton field and the black hole entropy agree with the corresponding equations for the supersymmetric version of the theory. These results suggest that there might be a simpler description of supergravity with curvature squared terms in which we supersymmetrize the Gauss-Bonnet term instead of the Weyl tensor squared term.
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