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We present a comprehensive analysis of the black holes on warped deformedconifold with fluxes in Type IIB supergravity. These black holes realize theholographic dual to thermal states of the ${\cal N}=1$ 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 ofconfinement/deconfinement (Hawking-Page) and the chiral symmetry breaking phasetransitions. In the $S^3\to {\mathbb R}^3$ decompactification limit, $i.e$,$\mu\to 0$, we recover the Klebanov-Tseytlin and the Klebanov-Strassler blackbranes.

A bestiary of black holes on the conifold with fluxes