On 1/N Corrections to the Entropy of Noncommutative Yang-Mills Theories

TL;DR

This paper investigates the entropy corrections in noncommutative Yang-Mills theories derived from string theory, revealing that 1/N corrections are significantly suppressed and vanish at high temperatures, with implications for gauge/gravity duality.

Contribution

It provides the first analysis of 1/N corrections to the entropy of noncommutative Yang-Mills theories using the AdS/CFT correspondence.

Findings

1/N corrections are much softer than in the commutative case.

Corrections vanish at high temperature.

Entropy depends neither on the magnetic field B nor its rank.

Abstract

We study thermodynamical aspects of string theory in the limit in which it corresponds to Noncommutative Yang-Mills. We confirm, using the AdS/CFT correspondence, that for general Dp branes the entropy in the planar approximation depends neither on the value of the background magnetic field B nor on its rank. We find 1/N corrections to the planar entropy in the WKB approximation. For all appropriate values of p these corrections are much softer than the corresponding corrections for the B=0 case, and vanish altogether in the high temperature limit.