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) x 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.
| Original language | English |
|---|---|
| Pages (from-to) | 4021-4034 |
| Number of pages | 14 |
| Journal | International Journal of Modern Physics A |
| Volume | 20 |
| Issue number | 17 |
| DOIs | |
| Publication status | Published - 10 Jul 2005 |
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Keywords
- Gauge theory
- Noncommutativity
- Supersymmetry
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Mathematical Physics
- Nuclear and High Energy Physics
Cite this
SU(2) x U(1) nonanticommutative N = 2 supersymmetric gauge theory. / Ketov, Sergei V.; Sasaki, Shin.
In: International Journal of Modern Physics A, Vol. 20, No. 17, 10.07.2005, p. 4021-4034.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - SU(2) x U(1) nonanticommutative N = 2 supersymmetric gauge theory
AU - Ketov, Sergei V.
AU - Sasaki, Shin
PY - 2005/7/10
Y1 - 2005/7/10
N2 - 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) x 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.
AB - 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) x 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.
KW - Gauge theory
KW - Noncommutativity
KW - Supersymmetry
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UR - http://www.scopus.com/inward/citedby.url?scp=22244453764&partnerID=8YFLogxK
U2 - 10.1142/S0217751X05020963
DO - 10.1142/S0217751X05020963
M3 - Article
VL - 20
SP - 4021
EP - 4034
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
SN - 0217-751X
IS - 17
ER -