An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory

Abstract

We derive an exact expression for the Seiberg-Witten map of noncommutative gauge theory. It is found by studying the coupling of the gauge field to the Ramond-Ramond potentials in string theory. Our result also proves the earlier conjecture by Liu.

20 pages, LaTeX2e; v2: references added, typos corrected; v3: The proof improved. (The gauge theory proof of the Seiberg-Witten map is separated from discussion of its string theory origin.) References added. Version to appear in Phys. Rev. D

References in corpus (5)

• Komaba Lectures on Noncommutative Solitons and D-Branes
• How Noncommutative Gauge Theories Couple to Gravity
• Supergravity couplings to Noncommutative Branes, Open Wilson Lines and Generalised Star Products
• Energy-momentum Tensors in Matrix Theory and in Noncommutative Gauge Theories
• Comments on Born-Infeld Theory

Cited by in corpus (75)

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• Reconnection of Colliding Cosmic Strings
• Exact Description of D-branes via Tachyon Condensation
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• Seiberg-Witten maps and noncommutative Yang-Mills theories for arbitrary gauge groups
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• Seiberg-Witten Transforms of Noncommutative Solitons
• Non-Commutative Instantons and the Seiberg-Witten Map
• Noncommutative gravity at second order via Seiberg-Witten map
• Seiberg-Witten maps from the point of view of consistent deformations of gauge theories
• The Stringy Quantum Hall Fluid
• ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories
• Non-commutative field theory and composite Fermi Liquids in some quantum Hall systems
• Strings between branes
• Gravitational Instantons from Gauge Theory
• Nonplanar Anomalies in Noncommutative Theories and the Green-Schwarz Mechanism
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• ALE spaces from noncommutative U(1) instantons via exact Seiberg-Witten map
• Self-energies on deformed spacetimes
• Open Dielectric Branes
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• Matrix Model Cosmology in Two Space-time Dimensions
• BPS-type equations in the non-anticommutative N=2 supersymmetric U(1) gauge theory
• Non-Commutative Geometry from Strings
• Noncommuting fields and non-Abelian fluids
• Instanton Number Calculus on Noncommutative R^4
• Non-anticommutative N=2 supersymmetric SU(2) gauge theory
• Anomalies in noncommutative gauge theories, Seiberg-Witten transformation and Ramond-Ramond couplings
• Towards an explicit expression of the Seiberg-Witten map at all orders
• Nonabelian Gauge Theories on Noncommutative Spaces
• BRST Quantization of Noncommutative Gauge Theories
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• Seiberg-Witten map Invariant Scatterings
• Ambiguities of the Seiberg-Witten map in the presence of matter field
• Quantum aspects of Seiberg-Witten map in noncommutative Chern-Simons theory
• Noncommuting Gauge Fields as a Lagrange Fluid
• Branes as Stable Holomorphic Line Bundles On the Non-Commutative Torus
• Highly Effective Action from Large N Gauge Fields
• Two-Point Functions on Deformed Spacetime
• Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields
• Topology of the Gauge Group in Noncommutative Gauge Theory
• Dirac-Born-Infeld action, Seiberg-Witten map, and Wilson Lines
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• Lochlainn O'Raifeartaigh, Fluids, and Noncommuting Fields
• Noncommutative Fluids
• Open-String Actions and Noncommutativity Beyond the Large-B Limit
• Remarks on an Exact Seiberg-Witten map
• Solitons and Quasielectrons in the Quantum Hall Matrix Model
• Derivative Corrections from Boundary State Computations
• On the quantum equivalence of commutative and noncommutative Chern-Simons theories at higher orders
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• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
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• Modified Star-Products Beyond the Large-B Limit
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