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SU(2)×U(1) NONANTICOMMUTATIVE N = 2 SUPERSYMMETRIC GAUGE THEORY.
- Source :
-
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics . 7/10/2005, Vol. 20 Issue 17, p4021-4034. 14p. - Publication Year :
- 2005
-
Abstract
- We derive the master function governing the component action of the four-dimensional nonanticommutative (NAC) and fully N = 2 supersymmetric gauge field theory with a nonsimple gauge group U(2) = SU(2) × U(1). The new NAC master function is a nontrivial generalization of the known master functions in the NAC, N = 2 supersymmetric gauge theories with the U(1) and SU(2) gauge groups. We use a Lorentz-singlet NAC-deformation parameter and an N = 2 supersymmetric star (Moyal) product, which do not break any of the fundamental symmetries of the undeformed N = 2 gauge theory. The scalar potential in the NAC-deformed theory is calculated. We also propose the non-Abelian BPS-type equations in the case of the NAC-deformed N = 2 gauge theory with the SU(2) gauge group, and comment on the SU(3) case too. The NAC-deformed field theories can be thought of as the effective (nonperturbative) N = 2 gauge field theories in a certain (scalar only) N = 2 supergravity background. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0217751X
- Volume :
- 20
- Issue :
- 17
- Database :
- Academic Search Index
- Journal :
- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics
- Publication Type :
- Academic Journal
- Accession number :
- 17594851
- Full Text :
- https://doi.org/10.1142/S0217751X05020963