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

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.

24 pages, latex. Explanations added

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Cited by in corpus (13)

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• Trieste lectures on solitons in noncommutative gauge theories
• On Exact Noncommutative BPS Solitons
• Deformation independent open brane metrics and generalized theta parameters
• Holographic Noncommutativity
• A Membrane Action for OM Theory
• Non-Commutative Open (p,q)-String Theories
• Open String/Open D-Brane Dualities: Old and New
• Wilson Loop and Dimensional Reduction in Non-Commutative Gauge Theories
• Noncommutative Open String Theories and Their Dualities
• Light-like noncommutativity and duality from open strings/branes
• An M-theory solution generating technique and SL(2,R)
• Brane bound states, deformations and OM