ABJM models in N= 3 harmonic superspace

verfasst von: I. L. Buchbinder, E. A. Ivanov, O. Lechtenfeld, N. G. Pletnev, I. B. Samsonov, B. M. Zupnik
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.
Organisationseinheit(en): Institut für Theoretische Physik
Externe Organisation(en): Tomsk State Pedagogical University
Joint Institute for Nuclear Research (JINR)
RAS - Sobolev Institute of Mathematics of SB
Tomsk Polytechnic University
Sezione di Padova
Typ: Artikel
Journal: Journal of high energy physics
Band: 2009
ISSN: 1126-6708
Publikationsdatum: 2009
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Kern- und Hochenergiephysik
Elektronische Version(en): https://doi.org/10.1088/1126-6708/2009/03/096 (Zugang: Offen)
https://doi.org/10.1088/1126-6708/2009/03/096 (Zugang: Unbekannt)

BibTeX

@article{01ab8ab5dd104bc0bf548ac5f9eaa624,
title = "ABJM models in N= 3 harmonic superspace",
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.",
keywords = "Chern-Simons theories, Extended supersymmetry, Superspaces, Supersymmetric gauge theory",
author = "Buchbinder, {I. L.} and Ivanov, {E. A.} and O. Lechtenfeld and Pletnev, {N. G.} and Samsonov, {I. B.} and Zupnik, {B. M.}",
note = "Copyright: Copyright 2012 Elsevier B.V., All rights reserved.",
year = "2009",
doi = "10.1088/1126-6708/2009/03/096",
language = "English",
volume = "2009",
journal = "Journal of high energy physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "3",
}