Non-commutative gauge theory on D-branes in Melvin Universes

TL;DR

This paper constructs and analyzes a non-commutative gauge theory derived from D3-branes in Melvin universes, revealing unique features like a non-supersymmetric Coulomb branch and position-dependent monopoles.

Contribution

It explicitly formulates a non-constant non-commutative gauge theory from D-branes in Melvin backgrounds, exploring its physical properties and solitonic solutions.

Findings

Coulomb branch remains flat at large N and strong coupling.

Existence of position-dependent Prasad-Sommerfield monopoles.

The theory is non-supersymmetric with a non-constant non-commutativity parameter.

Abstract

Non-commutative gauge theory with a non-constant non-commutativity parameter can be formulated as a decoupling limit of open strings ending on D3-branes wrapping a Melvin universe. We construct the action explicitly and discuss various physical features of this theory. The decoupled field theory is not supersymmetric. Nonetheless, the Coulomb branch appears to remain flat at least in the large N and large 't Hooft coupling limit. We also find the analogue of Prasad-Sommerfield monopoles whose size scales with the non-commutativity parameter and is therefore position dependent.