Matrix Model Thermodynamics

Abstract

Some recent work on the thermodynamic behavior of the matrix model of M-theory on a pp-wave background is reviewed. We examine a weak coupling limit where computations can be done explicitly. In the large N limit, we find a phase transition between two distinct phases which resembles a ``confinement-deconfinement'' transition in gauge theory and which we speculate must be related to a geometric transition in M-theory. We review arguments that the phase transition is also related to the Hagedorn transition of little string theory in a certain limit of the 5-brane geometry.

Presented at ``Circumnavigating Theoretical Physics'', in Memory of Ian Kogan, Oxford, U.K., January 2004. Plenary lecture at ``Quantum Theory and Symmetries'', Cincinnati, Ohio, October 2003

References in corpus (3)

• Five-Brane Thermodynamics from the Matrix Model
• Thermodynamics of Fuzzy Spheres in PP-wave Matrix Model
• Correspondence Principle for Black Holes in Plane Waves

Cited by in corpus (11)

• Finite temperature effective action, AdS_5 black holes, and 1/N expansion
• Fine structure of Hagedorn transitions
• Free Energy and Phase Transition of the Matrix Model on a Plane-Wave
• Phase Transitions of Large N Orbifold Gauge Theories
• Dynamical aspects of the plane-wave matrix model at finite temperature
• Thermodynamic Behavior of Fuzzy Membranes in PP-Wave Matrix Model
• Holography and entropy bounds in the plane wave matrix model
• Graviton and Spherical Graviton Potentials in Plane-Wave Matrix Model - overview and perspective -
• The Holographic Principle and the Early Universe
• Lectures On AdS-CFT At Weak 't Hooft Coupling At Finite Temperature
• Simulations of Bosonic BMN Matrix Model