Entropy of Pairs of Dual Attractors in 6D/7D

Details Entropy of Pairs of Dual Attractors in 6D/7D Entropy of Pairs of Dual Attractors in 6D/7D

2008-03-20

arxiv.org/abs/0803.2945v2

JHEP 0807:128,2008

Physics

High Energy Physics

High Energy Physics - Theory

55 pages, 2 figures, To appear in JHEP

Scientific paper

10.1088/1126-6708/2008/07/128

We study the attractor mechanism of dual pairs of black brane bounds in N=2 supergravity in six and seven dimensions. First, we consider the effective potentials of the 6D and 7D black branes as well as their entropies. The contribution coming from the SO(1,1) factor of the moduli spaces M_{6D} and M_{7D} of these theories is carefully analyzed and it is used to motivate the study of the dual black branes bounds; which in turn allow to fix the critical value of the dilaton at horizon. The attractor eqs of the black branes and the bound pairs are derived by combining the criticality conditions of the corresponding effective potentials and the Lagrange multiplier method capturing constraints eqs on the fields moduli.

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