Finite temperature resolution of the Klebanov-Tseytlin singularity
Alex Buchel
TL;DR
The paper presents an exact black hole solution within the Klebanov-Tseytlin geometry to realize the gravity dual of the finite-temperature Klebanov-Strassler cascade for temperatures above chiral symmetry breaking. The authors compute the Hawking temperature and the Bekenstein-Hawking entropy of the KT black hole and compare these to the finite-temperature gauge theory entropy, finding that the leading temperature dependence S ∝ M^4 V T^3 log^2(T) matches up to constants, thereby supporting the KS cascade picture at high temperature. They identify a temperature threshold T_s above which the horizon can cloak the KT singularity, signaling chiral symmetry restoration, and discuss prospects for extending the analysis to the KS-deformed conifold. An added discussion on horizon structure in non-BPS KT backgrounds suggests that relaxing flux self-duality may be necessary to obtain regular horizons, enriching the understanding of finite-temperature resolutions in holographic duals.
Abstract
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 [hep-th/0002159]. Our solution realizes Maldacena dual of the finite temperature N=1 duality cascade of [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)xSU(N) gauge theory.