Thermodynamics of the localized D2-D6 system

Marta Gomez-Reino; Stephen Naculich; Howard Schnitzer

doi:10.1016/j.nuclphysb.2005.02.017

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arXiv · hep-th/0412015

Thermodynamics of the localized D2-D6 system

Marta Gomez-Reino·Stephen Naculich·Howard Schnitzer

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Abstract

An exact fully-localized extremal supergravity solution for N_2 D2 branes and N_6 D6 branes, which is dual to 3-dimensional supersymmetric SU(N_2) gauge theory with N_6 fundamentals, was found by Cherkis and Hashimoto. In order to consider the thermal properties of the gauge theory we present the non-extremal extension of this solution to first order in an expansion near the core of the D6 branes. We compute the Hawking temperature and the black brane horizon area/entropy. The leading order entropy, which is proportional to N_2^{3/2} N_6^{1/2} T_H^2, is not corrected to first order in the expansion. This result is consistent with the analogous weak-coupling result at the correspondence point N_2 ~ N_6.

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Marta Gomez-Reino, Stephen Naculich, Howard Schnitzer. 2004-12-01. Thermodynamics of the localized D2-D6 system. https://doi.org/10.1016/j.nuclphysb.2005.02.017

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