Gauged Wess-Zumino model in noncommutative Minkowski superspace

Journal Article · Sun Jan 15 04:00:00 EST 2006 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2162330· OSTI ID:20768710

Cook, James S ^[1]

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1. Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695 (United States)

We develop a gauged Wess-Zumino model in noncommutative Minkowski superspace. This is the natural extension of the work of Carlson and Nazaryan, which extended N=1/2 supersymmetry written over deformed Euclidean superspace to Minkowski superspace. We investigate the coupling of the vector and chiral superfields. Noncommutativity is implemented by replacing products with star products. Although, in general, our star product is nonassociative, we prove that it is associative to the first order in the deformation parameter C. We show that our model reproduces the N=1/2 theory in the appropriate limit, namely when the deformation parameters C{sup {alpha}}{sup {beta}}=0. Essentially, we find the N=1/2 theory and a conjugate copy. As in the N=1/2 theory, a reparametrization of the gauge parameter, vector superfield, and chiral superfield are necessary to write standard C-independent gauge theory. However, our choice of parametrization differs from that used in the N=1/2 supersymmetry, which leads to some unexpected new terms.

• OSTI ID: 20768710
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 1 Vol. 47; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AXIOMATIC FIELD THEORY
CHIRAL SYMMETRY
CHIRALITY
COMMUTATION RELATIONS
EUCLIDEAN SPACE
GAUGE INVARIANCE
NONLINEAR PROBLEMS
SUPERSYMMETRY