Supergravity and Large N Noncommutative Field Theories

TL;DR

This paper explores supergravity solutions for Dp branes with B fields, analyzing their phase structure and decoupling from gravity, to understand large N noncommutative field theories and their dual descriptions.

Contribution

It provides new insights into the decoupling of D6 brane worldvolume theories from gravity and examines the phase structure of noncommutative theories with various branes and fields.

Findings

D6 brane worldvolume theory decouples from gravity with nonzero B field

Phase structure of noncommutative theories analyzed

Wilson loops and surfaces studied via dual descriptions

Abstract

We consider systems of Dp branes in the presence of a nonzero B field. We study the corresponding supergravity solutions in the limit where the branes worldvolume theories decouple from gravity. These provide dual descriptions of large N noncommutative field theories. We analyse the phase structure of the theories and the validity of the different description. We provide evidence that in the presence of a nonzero B field the worldvolume theory of D6 branes decouples from gravity. We analyse the systems of M5 branes and NS5 branes in the presence of a nonzero C field and nonzero RR fields, respectively. Finally, we study the Wilson loops (surfaces) using the dual descriptions.