Quantum state density and critical temperature in M-theory
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2001-11-20
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World Scientific Publ Co Pte Ltd
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We discuss the asymptotic properties of quantum states density for fundamental p-branes which can yield a microscopic interpretation of the thermodynamic quantities in M-theory. The matching of the BPS part of spectrum for superstring and supermembrane gives the possibility of getting membrane's results via string calculations. In the weak coupling limit of M-theory, the critical behavior coincides with the first-order phase transition in the standard string theory at temperature less than the Hagedorn's temperature T-H. The critical temperature at large coupling constant is computed by considering M-theory on manifold with topology R-9 circle times T-2. Alternatively we argue that any finite temperature can be introduced in the framework of membrane thermodynamics.
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Modern Physics Letters A. Singapore: World Scientific Publ Co Pte Ltd, v. 16, n. 35, p. 2249-2262, 2001.