Seiberg--Witten Maps to All Orders

Abstract

All order Seiberg--Witten maps of gauge parameter, gauge field and matter fields are given as a closed recursive formula. These maps are obtained by analyzing the order by order solutions of the gauge consistency and equivalence conditions as well as by directly solving Seiberg-Witten differential equations. The explicit third order non-abelian and fourth order abelian Seiberg-Witten maps of gauge parameter and gauge field are also presented.

16 pages

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• Gauge Theory on Twisted $\kappa$-Minkowski: Old Problems and Possible Solutions
• Noncommutative Corrections to the Robertson-Walker metric
• Noncommutative gauge fields coupled to noncommutative gravity
• Pauli Oscillator In Noncommutative Space
• Probing the noncommutative effects of phase space in the time-dependent Aharonov-Bohm effect
• Noncommutative gravity and the relevance of the $\theta$-constant deformation
• SO(10) GUTs with large tensor representations on Noncommutative Space-time
• The Minimal and the New Minimal Supersymmetric Grand Unified Theories on Noncommutative Space-time
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• Higgs $p_t$ distribution in Higgs + jet production at hadron colliders within the noncommutative effective standard model
• Canonical Deformation of $N=2$ $Ad{S}_4$ SUGRA
• Commutative deformations of general relativity: nonlocality, causality, and dark matter
• The role of the Seiberg-Witten field redefinition in renormalization of noncommutative chiral electrodynamics
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• Pair production of Dirac particles in a d+1-dimensional noncommutative space-time
• Deformed Kac-Moody Algebra and Noncommutative Fermi Theory in Two-Dimensions
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