On 1/N corrections to the entropy of noncommutative Yang-Mills theories

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 I/TV² 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.