Seiberg-Witten map for noncommutative super Yang-Mills theory

Abstract

In this letter we derive the Seiberg-Witten map for noncommutative super Yang-Mills theory in Wess-Zumino gauge. Following (and using results of) hep-th/0108045 we split the observer Lorentz transformations into a covariant particle Lorentz transformation and a remainder which gives directly the Seiberg-Witten differential equations. These differential equations lead to a theta-expansion of the noncommutative super Yang-Mills action which is invariant under commutative gauge transformations and commutative observer Lorentz transformation, but not invariant under commutative supersymmetry transformations: The theta-expansion of noncommutative supersymmetry leads to a theta-dependent symmetry transformation. For this reason the Seiberg-Witten map of super Yang-Mills theory cannot be expressed in terms of superfields.

9 pages

References in corpus (1)

• Quantisation of θ-expanded non-commutative QED

Cited by in corpus (6)

• Lorentz Violating Supersymmetric Quantum Electrodynamics
• Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• Dimensional Reduction, Seiberg--Witten Map and Supersymmetry
• Duals of noncommutative supersymmetric U(1) gauge theory
• N=1/2 Supersymmetric gauge theory in noncommutative space