Details
| Original language | English |
|---|---|
| Article number | 075 |
| Journal | Journal of high energy physics |
| Volume | 2009 |
| Issue number | 10 |
| Publication status | Published - 2009 |
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.
Keywords
- Chern-Simons Theories, Extended Supersymmetry, Superspaces, Supersymmetric gauge theory
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Journal of high energy physics, Vol. 2009, No. 10, 075, 2009.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Quantum N = 3, D = 3 Chern-Simons matter theories in 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 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.
AB - 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.
KW - Chern-Simons Theories
KW - Extended Supersymmetry, Superspaces
KW - Supersymmetric gauge theory
UR - http://www.scopus.com/inward/record.url?scp=70350780318&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2009/10/075
DO - 10.1088/1126-6708/2009/10/075
M3 - Article
AN - SCOPUS:70350780318
VL - 2009
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 10
M1 - 075
ER -