1205.4398 (Yen Chin Ong et al.)
Yen Chin Ong, Pisin Chen
Electrically charged black holes with flat event horizon in anti-de Sitter space have received much attention due to various applications in Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence, from modeling the behavior of quark-gluon plasma to superconductor. Crucial to the physics on the dual field theory is the fact that when embedded in string theory, black holes in the bulk may become vulnerable to instability caused by brane pair-production. Since dilaton arises naturally in the context of string theory, we study the effect of coupling dilaton to Maxwell field on the stability of flat charged AdS black holes. We find that for dilaton coupling parameter $\alpha > 1$, flat black holes are stable against brane pair production, however for $0 \leq \alpha < 1$, the black holes eventually become unstable as the amount of electrical charges is increased. Such instability however, behaves somewhat differently from that of flat Reissner--Nordstr\"om black holes. In addition, we prove that the Seiberg-Witten action of charged dilaton black hole with flat event horizon (at least in 5-dimension) is always logarithmically divergent at infinity for finite values of $\alpha$, and is finite and positive in the case $\alpha \to \infty$.
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http://arxiv.org/abs/1205.4398
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