On Noncommutative Open String Theories

TL;DR

This paper explores new 3+1 dimensional noncommutative open string theories derived from specific D3 brane configurations, analyzing their properties, dualities, and Coulomb potential corrections via supergravity.

Contribution

It introduces a novel compactification of OM theory leading to a noncommutative open string theory with two noncommutative planes and studies its dualities and potential corrections.

Findings

Continuous interpolation between different noncommutative theories.

SL(2,Z) duality transformations analyzed.

Quantitative corrections to Coulomb potential computed.

Abstract

We investigate new compactifications of OM theory giving rise to a 3+1 dimensional open string theory with noncommutative $x^0$-$x^1$ and $x^2$-$x^3$ coordinates. The theory can be directly obtained by starting with a D3 brane with parallel (near critical) electric and magnetic field components, in the presence of a RR scalar field. The magnetic parameter permits to interpolate continuously between the $x^0$-$x^1$ noncommutative open string theory and the $x^2$-$x^3$ spatial noncommutative U(N) super Yang-Mills theory. We discuss $SL(2,Z)$ transformations of this theory. Using the supergravity description of the large $N$ limit, we also compute corrections to the quark-antiquark Coulomb potential arising in the NCOS theory.