Supergravity and Space-Time Non-Commutative Open String Theory

TL;DR

This paper investigates the thermodynamics of space-time non-commutative open string (NCOS) theory via supergravity duals, revealing its equivalence to Yang-Mills thermodynamics and discussing implications for Hagedorn behavior and Little String Theory.

Contribution

It provides a supergravity-based analysis of NCOS thermodynamics, establishing its equivalence to Yang-Mills theory and exploring string corrections and connections to Little String Theory.

Findings

NCOS thermodynamics matches Yang-Mills theory results

String corrections support non-Hagedorn behavior

Relation to 6D Little String Theory discussed

Abstract

We study the non-critical space-time non-commutative open string (NCOS) theory using a dual supergravity description in terms of a certain near-horizon limit of the F1-Dp bound state. We find the thermodynamics of NCOS theory from supergravity. The thermodynamics is equivalent to Yang-Mills theory on a commutative space-time. We argue that this fact does not have to be in contradiction with the expected Hagedorn behaviour of NCOS theory. To support this we consider string corrections to the thermodynamics. We also discuss the relation to Little String Theory in 6 dimensions.