A bestiary of black holes on the conifold with fluxes

• Main Author: Alex Buchel
• Format: Article
• Language: English
• Published: SpringerOpen 2021-06-01
• Series: Journal of High Energy Physics
• Subjects: Gauge-gravity correspondence; Black Holes in String Theory; Holography and quark-gluon plasmas
• Online Access: https://doi.org/10.1007/JHEP06(2021)102

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 N $$ \mathcal{N} $$ = 1 supersymmetric SU(N) × SU(N + M) cascading gauge theory of Klebanov et al. [1, 2] on round S 3 . There are three distinct mass scales in the theory: the strong coupling scale Λ of the cascading gauge theory, the compactification scale μ = 1/L 3 (related to the S 3 radius L 3) and the temperature T of a thermal state. Depending on Λ, μ and T, there is an intricate pattern of confinement/deconfinement (Hawking-Page) and the chiral symmetry breaking phase transitions. In the S 3 → ℝ3 decompactification limit, i.e., μ → 0, we recover the Klebanov-Tseytlin [3] and the Klebanov-Strassler [4] black branes.