Duality and Non-Commutative Gauge Theory

Abstract

We study the generalization of S-duality to non-commutative gauge theories. For rank one theories, we obtain the leading terms of the dual theory by Legendre transforming the Lagrangian of the non-commutative theory expressed in terms of a commutative gauge field. The dual description is weakly coupled when the original theory is strongly coupled if we appropriately scale the non-commutativity parameter. However, the dual theory appears to be non-commutative in space-time when the original theory is non-commutative in space. This suggests that locality in time for non-commutative theories is an artifact of perturbation theory.

7 pages, harvmac; a typo fixed

References in corpus (3)

• String Theory and Noncommutative Geometry
• Space/Time Non-Commutativity and Causality
• $\Lambda$-symmetry and background independence of noncommutative gauge theory on ${\mathbb{R}}^n$

Cited by in corpus (53)

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• General Properties of Noncommutative Field Theories
• On Theories With Light-Like Noncommutativity
• OM Theory in Diverse Dimensions
• Dipoles, Twists and Noncommutative Gauge Theory
• Nonlocal Field Theories and their Gravity Duals
• D-branes, open string vertex operators, and Ext groups
• On Noncommutative Open String Theories
• Yang-Baxter $\sigma$-models, conformal twists, and noncommutative Yang-Mills theory
• Supergravity and Space-Time Non-Commutative Open String Theory
• Topological Open P-Branes
• S-Duality, Noncritical Open String and Noncommutative Gauge Theory
• *-TREK: The One-Loop N=4 Noncommutative SYM Action
• Open Branes in Space-Time Non-Commutative Little String Theory
• Superluminal Noncommutative Photons
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• ((F, D1), D3) bound state, S-duality and noncommutative open string/Yang-Mills theory
• Topological Open Membranes
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• AdS_3 OM theory and the self-dual string or Membranes ending on the Five-brane
• Noncommutative Maxwell-Chern-Simons theory, duality and a new noncommutative Chern-Simons theory in d=3
• SL(2, Z) Duality and 4-Dimensional Noncommutative Theories
• Comments on Noncommutative Open String Theory: V-duality and Holography
• Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics
• Issues of duality on non-commutative manifolds: the {\it non-equivalence} between self-dual and topologically massive models
• Noncommutative Maxwell-Chern-Simons theory in three dimensions and its dual
• S-Duality for D3-Brane in NS-NS and R-R Backgrounds
• Bosonized noncommutative bi-fundamental fermion and S-duality
• Nonlocal Effects on D-branes in Plane-Wave Backgrounds
• On the question of deconfinement in noncommutative Schwinger Model
• Noncommutative Dipole Field Theories And Unitarity
• Holography and D3-branes in Melvin Universes
• Hamiltonian formulation of Noncommutative D3--Brane
• On Supergravity Solutions of Branes in Melvin Universes
• Duality Rotations and BPS Monopoles with Space and Time Noncommutativity
• Factorization and generalized *-products
• Non-commutativity and Supersymmetry
• Duals of noncommutative supersymmetric U(1) gauge theory
• A Note on Duality Symmetry in Nonlinear Gauge Theories
• Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings
• Electric-Magnetic Dualities in Non-Abelian and Non-Commutative Gauge Theories
• Off-Shell Duality in Born-Infeld Theory
• On The Complete Seiberg-Witten Map For Theories With Topological Terms
• Issues on 3D Noncommutative Electromagnetic Duality
• Noncommutative Open String Theories and Their Dualities
• Light-like (2,0) Noncommutativity and Light-Cone Rigid Open Membrane Theory
• Compactified NCOS and duality
• Duality invariance of non-anticommutative N=1/2 supersymmetric U(1) gauge theory
• The Lorentz Group, Noncommutative Space-Time, and Nonlinear Electrodynamics in Majorana-Oppenheimer Formalism
• 3D and 4D noncommutative electromagnetic duality and the role of the slowly varying fields limit
• New M(atrix)-models for Commutative and Noncommutative Gauge Theories
• Dynamical Aspects on Duality between SYM and NCOS from D2-F1 Bound State
• Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms