Abstract
We construct the classical action of the Aharony-Bergman-Jafferis-Maldacena (ABJM) model in the = 3, d = 3 harmonic superspace. In such a formulation three out of six supersymmetries are realized off shell while the other three mix the superfields and close on shell. The superfield action involves two hypermultiplet superfields in the bifundamental representation of the gauge group and two Chern-Simons gauge superfields corresponding to the left and right gauge groups. The = 3 superconformal invariance allows only for a minimal gauge interaction of the hypermultiplets. Amazingly, the correct sextic scalar potential of ABJM emerges after the elimination of auxiliary fields. Besides the original U(N) × U(N) ABJM model, we also construct = 3 superfield formulations of some generalizations. For the SU(2) × SU(2) case we give a simple superfield proof of its enhanced = 8 supersymmetry and SO(8) R-symmetry.
| Original language | English |
|---|---|
| Article number | 096 |
| Journal | Journal of High Energy Physics |
| Volume | 2009 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2009 |
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Keywords
- Chern-Simons theories
- Extended supersymmetry
- Superspaces
- Supersymmetric gauge theory
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
ABJM models in N= 3 harmonic superspace. / Buchbinder, I. L.; Ivanov, E. A.; Lechtenfeld, O.; Pletnev, N. G.; Samsonov, I. B.; Zupnik, B. M.
In: Journal of High Energy Physics, Vol. 2009, No. 3, 096, 2009.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - ABJM models in N= 3 harmonic superspace
AU - Buchbinder, I. L.
AU - Ivanov, E. A.
AU - Lechtenfeld, O.
AU - Pletnev, N. G.
AU - Samsonov, I. B.
AU - Zupnik, B. M.
PY - 2009
Y1 - 2009
N2 - We construct the classical action of the Aharony-Bergman-Jafferis-Maldacena (ABJM) model in the = 3, d = 3 harmonic superspace. In such a formulation three out of six supersymmetries are realized off shell while the other three mix the superfields and close on shell. The superfield action involves two hypermultiplet superfields in the bifundamental representation of the gauge group and two Chern-Simons gauge superfields corresponding to the left and right gauge groups. The = 3 superconformal invariance allows only for a minimal gauge interaction of the hypermultiplets. Amazingly, the correct sextic scalar potential of ABJM emerges after the elimination of auxiliary fields. Besides the original U(N) × U(N) ABJM model, we also construct = 3 superfield formulations of some generalizations. For the SU(2) × SU(2) case we give a simple superfield proof of its enhanced = 8 supersymmetry and SO(8) R-symmetry.
AB - We construct the classical action of the Aharony-Bergman-Jafferis-Maldacena (ABJM) model in the = 3, d = 3 harmonic superspace. In such a formulation three out of six supersymmetries are realized off shell while the other three mix the superfields and close on shell. The superfield action involves two hypermultiplet superfields in the bifundamental representation of the gauge group and two Chern-Simons gauge superfields corresponding to the left and right gauge groups. The = 3 superconformal invariance allows only for a minimal gauge interaction of the hypermultiplets. Amazingly, the correct sextic scalar potential of ABJM emerges after the elimination of auxiliary fields. Besides the original U(N) × U(N) ABJM model, we also construct = 3 superfield formulations of some generalizations. For the SU(2) × SU(2) case we give a simple superfield proof of its enhanced = 8 supersymmetry and SO(8) R-symmetry.
KW - Chern-Simons theories
KW - Extended supersymmetry
KW - Superspaces
KW - Supersymmetric gauge theory
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UR - http://www.scopus.com/inward/citedby.url?scp=67649437310&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2009/03/096
DO - 10.1088/1126-6708/2009/03/096
M3 - Article
AN - SCOPUS:67649437310
VL - 2009
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 3
M1 - 096
ER -