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arXiv · hep-th/0301239

Quantum State Density and Critical Temperature in M-theory

M. C. B. Abdalla·A. A. Bytsenko·B. M. Pimentel
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Abstract

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 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 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 ${\mathbb R}^9\otimes{mathbb T}^2$. Alternatively we argue that any finite temperature can be introduced in the framework of membrane thermodynamics.

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M. C. B. Abdalla, A. A. Bytsenko, B. M. Pimentel. 2003-01-29. Quantum State Density and Critical Temperature in M-theory. https://doi.org/10.1142/s0217732301005758

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