Five-Brane Thermodynamics from the Matrix Model

Details Five-Brane Thermodynamics from the Matrix Model Five-Brane Thermodynamics from the Matrix Model

2003-10-30

arxiv.org/abs/hep-th/0310286v2

Physics

High Energy Physics

High Energy Physics - Theory

1+34 pages, JHEP style. v2: typos, refs corrected

Scientific paper

A certain sector of the matrix model for M-theory on a plane wave background has recently been shown to produce the transverse five-brane. We consider this theory at finite temperature. We find that, at a critical temperature it has a Gross-Witten phase transition which corresponds to deconfinement of the matrix model gauge theory. We interpret the phase transition as the Hagedorn transition of M-theory and of type II string theory in the five-brane background. We also show that there is no Hagedorn behaviour in the transverse membrane background case.

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