Quantum States, Thermodynamic Limits and Entropy in M-Theory
arXiv:hep-th/0312038 · doi:10.1103/PhysRevD.69.064002
Abstract
We discuss the matching of the BPS part of the spectrum for (super)membrane, which gives the possibility of getting membrane's results via string calculations. In the small coupling limit of M--theory the entropy of the system coincides with the standard entropy of type IIB string theory (including the logarithmic correction term). The thermodynamic behavior at large coupling constant is computed by considering M--theory on a manifold with topology . We argue that the finite temperature partition functions (brane Laurent series for ) associated with BPS brane spectrum can be analytically continued to well--defined functionals. It means that a finite temperature can be introduced in brane theory, which behaves like finite temperature field theory. In the limit (point particle limit) it gives rise to the standard behavior of thermodynamic quantities.
7 pages, no figures, Revtex style. To be published in the Physical Review D
References in corpus (16)
- Microscopic Origin of the Bekenstein-Hawking Entropy
- An SL(2,Z) Multiplet of Type IIB Superstrings
- D-branes and Fat Black Holes
- Quantum Fields and Extended Objects in Space-Times with Constant Curvature Spatial Section
- Extremal Black Holes As Fundamental Strings
- Waves, boosted branes and BPS states in M-theory
- Braneless Black Holes
- 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
- Asymptotic Density of Open p-brane States with Zero-modes included
- Statistical entropy of near-extremal and fundamental black p-branes
- Are p-Branes Asymptotically Black Holes?
- Quantum State Density and Critical Temperature in M-theory
- Black Hole Entropy Associated with Supersymmetric Sigma Model
- HIGH TEMPERATURE EXPANSION OF STRING FREE ENERGY IN HYPERBOLIC SPACE