Finite temperature resolution of the Klebanov-Tseytlin singularity. (English) Zbl 0987.83028
Summary: Naked singularities in the gravitational backgrounds dual to gauge theories can be hidden behind the black hole horizon. We present an exact black hole solution in the Klebanov-Tseytlin geometry [I. R. Klebanov and A. A. Tseytlin, Nucl. Phys. B 578, 123-138 (2000; Zbl 0976.81109), see also hep-th/0002159]. Our solution realizes Maldacena dual of the finite temperature \(N=1\) duality cascade of [I. R. Klebanov and M. J. Strassler, J. High Energy Phys. 4, No. 8B, Paper No. 08(2000)052 (2000; Zbl 0986.83041), see also hep-th/0007191]above the temperature of the chiral symmetry breaking. We compare the Bekenstein-Hawking entropy of the black hole with the entropy of the SU\((N+M)\times\text{SU}(N)\) gauge theory.
MSC:
| 83C57 | Black holes |
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
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