Entropy of pairs of dual attractors in six and seven dimensions

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Published 30 July 2008 • Published under licence by IOP Publishing Ltd
, , Citation El Hassan Saidi and Antonio Segui JHEP07(2008)128 DOI 10.1088/1126-6708/2008/07/128

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Author affiliations

1 Lab/UFR—Physique des Hautes Energies, Faculté des Sciences, Université Mohammed V-Agdal, Avenue Ibn Batouta, Rabat, Morocco

2 Departamento de Fisica Teorica, Universidad de Zaragoza, 50009-Zaragoza, Spain

Dates

  1. Received 14 March 2008
  2. Accepted 13 July 2008
  3. Published

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1126-6708/2008/07/128

Abstract

We study the attractor mechanism of dual pairs of black brane bounds in Script 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 M6D and M7D 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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10.1088/1126-6708/2008/07/128