Supergravity Description of the Large N Noncommutative Dipole Field Theories

TL;DR

This paper constructs supergravity duals for large N noncommutative dipole field theories derived from Dp-branes with B fields, analyzing their properties and Wilson loop behavior.

Contribution

It introduces supergravity solutions for noncommutative dipole theories with preserved supersymmetry and explores their implications for (2,0) and little string theories.

Findings

Worldvolume theories decouple from gravity for p ≤ 5.

Supergravity solutions describe noncommutative dipole field theories.

Wilson loop calculations reveal confinement properties.

Abstract

We consider system of Dp-branes in the presence of a nonzero B field with one leg along brane worldvolume and the other transverse to it. We study the corresponding supergravity solutions and show that the worldvolume theories decouple from gravity for $p\leq 5$. Therefore these solutions provide dual description of large N noncommutative dipole field theories. We shall only consider those systems which preserve 8 supercharges in the branes worldvolume. We analyze the system of M5-branes and NS5-branes in the presence of nonzero C field and RR field with one leg along the transverse direction and the others along the worldvolume of the brane, respectively. This could provide a new deformation of (2,0) and little string field theories. Finally, we study the Wilson loops using the dual gravity descriptions.