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

authored by

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.

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

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/10.1088/1126-6708/2009/10/075 (Access: Unknown)