Matrix Theory Black Holes and the Gross Witten Transition

Abstract

Large N gauge theories have so called Gross-Witten phase transitions which typically can occur in finite volume systems. In this paper we relate these transitions in supersymmetric gauge theories to transitions that take place between black hole solutions in general relativity. The correspondence between gauge theory and gravitation is through matrix theory which represents the gravitational system in terms of super Yang Mills theories on finite tori. We also discuss a related transition that was found by Banks, Fischler, Klebanov and Susskind.

arXiv comment8 pages, phyzzx

References in corpus (3)

• A Correspondence Principle for Black Holes and Strings
• Comments on Black Holes in String Theory
• Statistical Mechanics of Multiply Wound D-Branes

Cited by in corpus (25)

• Fate of the Black String Instability
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Topology change in General Relativity and the black-hole black-string transition
• Thermal phases of D1-branes on a circle from lattice super Yang-Mills
• Caged Black Holes: Black Holes in Compactified Spacetimes I -- Theory
• Thermal Order in Conformal Theories
• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Twisted supersymmetric sigma model on the lattice
• On the shape of a D-brane bound state and its topology change
• Localised and nonuniform thermal states of super-Yang-Mills on a circle
• Black Holes and Five-brane Thermodynamics
• Cascade of Gregory-Laflamme Transitions and U(1) Breakdown in Super Yang-Mills
• Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
• On an Airy matrix model with a logarithmic potential
• New Phases of Thermal SYM and LST from Kaluza-Klein Black Holes
• Explosive black hole fission and fusion in large extra dimensions
• D-Brane Instability as a Large N Phase Transition
• Holography and entropy bounds in the plane wave matrix model
• Two approaches to quantum gravity and M-(atrix) theory at large number of dimensions
• Black holes and the phases of brane thermodynamics
• On black hole thermodynamics from super Yang-Mills
• Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
• Finite $N$ unitary matrix model
• Moduli dynamics as a predictive tool for thermal maximally supersymmetric Yang-Mills at large N