ABJM models in N= 3 harmonic superspace

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • I. L. Buchbinder
  • E. A. Ivanov
  • O. Lechtenfeld
  • N. G. Pletnev
  • I. B. Samsonov
  • B. M. Zupnik

Organisationseinheiten

Externe Organisationen

  • Tomsk State Pedagogical University
  • Joint Institute for Nuclear Research (JINR)
  • RAS - Sobolev Institute of Mathematics of SB
  • Tomsk Polytechnic University
  • Sezione di Padova
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer096
FachzeitschriftJournal of high energy physics
Jahrgang2009
Ausgabenummer3
PublikationsstatusVeröffentlicht - 2009

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.

ASJC Scopus Sachgebiete

Zitieren

ABJM models in N= 3 harmonic superspace. / Buchbinder, I. L.; Ivanov, E. A.; Lechtenfeld, O. et al.
in: Journal of high energy physics, Jahrgang 2009, Nr. 3, 096, 2009.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Buchbinder, I. L., Ivanov, E. A., Lechtenfeld, O., Pletnev, N. G., Samsonov, I. B., & Zupnik, B. M. (2009). ABJM models in N= 3 harmonic superspace. Journal of high energy physics, 2009(3), Artikel 096. https://doi.org/10.1088/1126-6708/2009/03/096, https://doi.org/10.1088/1126-6708/2009/03/096
Buchbinder IL, Ivanov EA, Lechtenfeld O, Pletnev NG, Samsonov IB, Zupnik BM. ABJM models in N= 3 harmonic superspace. Journal of high energy physics. 2009;2009(3):096. doi: 10.1088/1126-6708/2009/03/096, 10.1088/1126-6708/2009/03/096
Buchbinder, I. L. ; Ivanov, E. A. ; Lechtenfeld, O. et al. / ABJM models in N= 3 harmonic superspace. in: Journal of high energy physics. 2009 ; Jahrgang 2009, Nr. 3.
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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.",
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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.

N1 - Copyright: Copyright 2012 Elsevier B.V., All rights reserved.

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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DO - 10.1088/1126-6708/2009/03/096

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AN - SCOPUS:67649437310

VL - 2009

JO - Journal of high energy physics

JF - Journal of high energy physics

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