A bestiary of black holes on the conifold with fluxes

Abstract

We present a comprehensive analysis of the black holes on warped deformed conifold with fluxes in Type IIB supergravity. These black holes realize the holographic dual to thermal states of the $\mathcal{N}=1$ supersymmetric $SU(N)\times SU(N+M)$ cascading gauge theory of Klebanov et.al on round $S^3$. There are three distinct mass scales in the theory: the strong coupling scale $\Lambda$ of the cascading gauge theory, the compactification scale $\mu =1/L_3$ (related to the $S^3$ radius $L_3$) and the temperature $T$ of a thermal state. Depending on $\Lambda ,\mu$ and $T$, there is an intricate pattern of confinement/deconfinement (Hawking-Page) and the chiral symmetry breaking phase transitions. In the $S^3\to {\mathbb{R}}^3$ decompactification limit, $i.e$, $\mu \to 0$, we recover the Klebanov-Tseytlin and the Klebanov-Strassler black branes.

111 pages, 37 figures; v2: JHEP version

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