Quantum State Density and Critical Temperature in M-theory

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

16 pages, published in Mod. Phys. Lett. A16(2001)2249

References in corpus (8)

• An SL(2,Z) Multiplet of Type IIB Superstrings
• Quantum Fields and Extended Objects in Space-Times with Constant Curvature Spatial Section
• Waves, boosted branes and BPS states in M-theory
• Construction of SL(2,Z) invariant amplitudes in type IIB superstring theory
• Free energy and critical temperature in eleven dimensions
• A Novel Representation for the Free Energy in String Theory at Non-Zero Temperature
• Statistical entropy of near-extremal and fundamental black p-branes
• Are p-Branes Asymptotically Black Holes?

Cited by in corpus (2)

• Black Hole Entropy Associated with Supersymmetric Sigma Model
• Quantum States, Thermodynamic Limits and Entropy in M-Theory