Seiberg-Witten map for noncommutative super Yang-Mills theory

Details Seiberg-Witten map for noncommutative super Yang-Mills theory Seiberg-Witten map for noncommutative super Yang-Mills theory

2002-05-10

arxiv.org/abs/hep-th/0205094v2

Int.J.Mod.Phys. A18 (2003) 3325-3334

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1142/S0217751X03015246

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.

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