Free energy of supermembranes compactified on a torus.

Mathematics – Logic

Scientific paper

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Cosmological Models

Scientific paper

In the framework of the method of quasiclassical quantization the regularized free energy of closed supermembranes is calculated on the background S1 (temperature) xR10-dxTd, where Td is the d-dimensional torus in d = 2, 7. The Hagedorn critical temperature is obtained, and the early stage of evolution is discussed in the context of supermembrane cosmology.

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