ABJM models in N= 3 harmonic superspace

authored by: 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.
Organisation(s): Institute of Theoretical Physics
External Organisation(s): Tomsk State Pedagogical University
Joint Institute for Nuclear Research
RAS - Sobolev Institute of Mathematics of SB
Tomsk Polytechnic University
Sezione di Padova
Type: Article
Journal: Journal of high energy physics
Volume: 2009
ISSN: 1126-6708
Publication date: 2009
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Nuclear and High Energy Physics
Electronic version(s): https://doi.org/10.1088/1126-6708/2009/03/096 (Access: Open)
https://doi.org/10.1088/1126-6708/2009/03/096 (Access: Unknown)

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",
}