Strong coupling effects in noncommutative spaces from OM theory and supergravity

2000/09/30 by J. G. Russo, Jorge G. Russo, M. M. Sheikh-Jabbari · 18 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Coupling (piping) #Materials science #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Pure mathematics #Quantum electrodynamics #Supergravity #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1016/s0550-3213(01)00047-5

published in Nuclear Physics B 600(1), 62-80 (Elsevier BV) · 24 pages, latex. Explanations added

arxiv created 2000/12/01 · openalex publication_date 2001/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• String theory and noncommutative geometry
• M-theory superalgebra from the M-5-brane
• Instantons on Noncommutative ℝ 4 , and (2,0) Superconformal Six Dimensional Theory
• Branes and BPS configurations of non-commutative/commutative gauge theories
• Strings in background electric field, space/time noncommutativity and a new noncritical string theory
• Covariant field equations of the M-theory five-brane
• Monopoles and dyons in non-commutative geometry
• Noncommutative geometry and Matrix theory