Finite Temperature Matrix Theory

Abstract

We present the way the Lorentz invariant canonical partition function for Matrix Theory as a light-cone formulation of M-theory can be computed. We explicitly show how when the eleventh dimension is decompactified, the N = 1 eleven dimensional SUGRA partition function appears. We also provide a high temperature expansion which captures some structure of the canonical partition function when interactions amongst D-particles are on. The connection with the semi-classical computations thermalizing the open superstrings attached to a D-particle is also clarified through a Born-Oppenheimer approximation. Some ideas about how Matrix Theory would describe the complementary degrees of freedom of the massless content of eleven dimensional SUGRA are discussed. Comments about possible connections to black hole physics are also made.

32 pages. LaTeX, 1 epsf figure. Corrections and changes made in Section 4. One reference added

References in corpus (6)

• Why is the Matrix Model Correct?
• Schwarzschild Black Holes from Matrix Theory
• Schwarzschild Black Holes in Various Dimensions from Matrix Theory
• The Incredible Shrinking Torus
• Statistical mechanics of D0-branes and black hole thermodynamics
• Counting Closed String States in a Box

Cited by in corpus (9)

• Black Holes and the Super Yang-Mills diagram. II
• A note on supersymmetric Yang-Mills thermodynamics
• Thermodynamic Partition Function of Matrix Superstrings
• Free energy and critical temperature in eleven dimensions
• High Temperature Limit of the N= 2 Matrix Model
• Matrix Strings, Compactification Scales and Hagedorn Transition
• Ten Dimensional Black Hole and the D0-brane Threshold Bound State
• Non-perturbative Thermodynamics in Matrix String Theory
• On the effective character of a non abelian DBI action