Thermodynamic Partition Function of Matrix Superstrings

TL;DR

This paper demonstrates that the thermodynamic partition function of matrix string theory matches that of the DLCQ type IIA superstring at zero coupling, and explains how the superstring emerges in the decompactification limit.

Contribution

It establishes the equivalence of matrix string theory and superstring thermodynamics in the zero coupling limit and clarifies the emergence of superstring in the decompactified limit.

Findings

Partition function of matrix string theory equals that of DLCQ superstring at g_s → 0

Superstring is recovered in the decompactified R^+ → ∞ limit

Provides insight into the thermodynamic behavior of matrix superstrings

Abstract

We show that, in the limit of zero string coupling, $g_s \to 0$, the thermodynamic partition function of matrix string theory is identical to that of the finite temperature, discrete light-cone quantised (DLCQ) type IIA superstring. We discuss how the superstring is recovered in the decompactified $R^+\to\infty$ limit.