Strong Coupling Effects in non-commutative spaces from OM Theory and supergravity

TL;DR

This paper explores the relationships between non-commutative open string theories, OM theory, and supergravity, revealing how various non-perturbative configurations and dualities manifest in these frameworks.

Contribution

It demonstrates the derivation of 3+1D NCOS theories from OM theory via dimensional reduction and analyzes their duality transformations and non-perturbative objects.

Findings

Derived 3+1D NCOS theories from OM theory using 2-torus reduction.

Calculated tensions of monopoles and dyons, revealing their six-dimensional origins.

Constructed supergravity solutions for instantons and monopole-antimonopole potentials.

Abstract

We show that a four-parameter class of 3+1 dimensional NCOS theories can be obtained by dimensional reduction on a general 2-torus from OM theory. Compactifying two spatial directions of NCOS theory on a 2-torus, we study the transformation properties under the $SO(2,2;Z)$ T-duality group. We then discuss non-perturbative configurations of non-commutative super Yang-Mills theory. In particular, we calculate the tension for magnetic monopoles and (p,q) dyons and exhibit their six-dimensional origin, and construct a supergravity solution representing an instanton in the gauge theory. We also compute the potential for a monopole-antimonopole in the supergravity approximation.