Issue
EPL
Volume 78, Number 2, April 2007
Article Number 21004
Number of page(s) 6
Section The Physics of Elementary Particles and Fields
DOI http://dx.doi.org/10.1209/0295-5075/78/21004
Published online 03 April 2007
EPL, 78 (2007) 21004
DOI: 10.1209/0295-5075/78/21004

$\mth{N = 1/2}$ supersymmetric gauge theory in noncommutative space

Ö. F. Dayi1, 2 and L. T. Kelleyane1

1  Physics Department, Faculty of Science and Letters, Istanbul Technical University - TR-34469 Maslak-Istanbul, Turkey
2  Feza Gürsey Institute - P.O. Box 6, TR-34684, Çengelköy-Istanbul, Turkey


received 17 January 2007; accepted in final form 7 March 2007; published April 2007
published online 3 April 2007

Abstract
A formulation of (non-anticommutative) N=1/2 supersymmetric U(N) gauge theory in noncommutative space is studied. We show that at one loop UV/IR mixing occurs. A generalization of Seiberg-Witten map to noncommutative and non-anticommutative superspace is employed to obtain an action in terms of commuting fields at first order in the noncommutativity parameter $\theta $. This leads to Abelian and non-Abelian gauge theories whose supersymmetry transformations are local and non-local, respectively.

PACS
11.10.Nx - Noncommutative field theory.
12.60.Cn - Extensions of electroweak gauge sector.

© Europhysics Letters Association 2007