Finite Temperature Matrix Theory

Details Finite Temperature Matrix Theory Finite Temperature Matrix Theory

1998-03-06

arxiv.org/abs/hep-th/9803058v3

Nucl.Phys. B531 (1998) 613-640

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0550-3213(98)00557-4

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.

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