Quantum N = 3, D = 3 Chern-Simons matter theories in harmonic superspace

verfasst von: I. L. Buchbinder, E. A. Ivanov, O. Lechtenfeld, N. G. Pletnev, I. B. Samsonov, B. M. Zupnik
Abstract: We develop the background field method for studying classical and quantum aspects of = 3, d = 3 Chern-Simons and matter theories in = 3 harmonic superspace. As one of the immediate consequences, we prove a nonrenormalization theorem implying the ultra-violet finiteness of the corresponding supergraph perturbation theory. We also derive the general hypermultiplet and gauge superfield propagators in a Chern-Simons background. The leading supergraphs with two and four external lines are evaluated. In contrast to the non-supersymmetric theory, the leading quantum correction to the massive charged hypermultiplet proves to be the super Yang-Mills action rather than the Chern-Simons one. The hypermultiplet mass is induced by a constant triplet of central charges in the = 3, d = 3 Poincaré superalgebra.
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
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/10.1088/1126-6708/2009/10/075 (Zugang: Unbekannt)

BibTeX

@article{6216ab36dd064dd6abcf94332af857b9,
title = "Quantum N = 3, D = 3 Chern-Simons matter theories in harmonic superspace",
abstract = "We develop the background field method for studying classical and quantum aspects of = 3, d = 3 Chern-Simons and matter theories in = 3 harmonic superspace. As one of the immediate consequences, we prove a nonrenormalization theorem implying the ultra-violet finiteness of the corresponding supergraph perturbation theory. We also derive the general hypermultiplet and gauge superfield propagators in a Chern-Simons background. The leading supergraphs with two and four external lines are evaluated. In contrast to the non-supersymmetric theory, the leading quantum correction to the massive charged hypermultiplet proves to be the super Yang-Mills action rather than the Chern-Simons one. The hypermultiplet mass is induced by a constant triplet of central charges in the = 3, d = 3 Poincar{\'e} superalgebra.",
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 = "10.1088/1126-6708/2009/10/075",
language = "English",
volume = "2009",
journal = "Journal of high energy physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "10",
}