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

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • I. L. Buchbinder
  • E. A. Ivanov
  • O. Lechtenfeld
  • N. G. Pletnev
  • I. B. Samsonov
  • B. M. Zupnik

Organisationseinheiten

Externe Organisationen

  • Tomsk State Pedagogical University
  • Joint Institute for Nuclear Research (JINR)
  • RAS - Sobolev Institute of Mathematics of SB
  • Tomsk Polytechnic University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer075
FachzeitschriftJournal of high energy physics
Jahrgang2009
Ausgabenummer10
PublikationsstatusVeröffentlicht - 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.

ASJC Scopus Sachgebiete

Zitieren

Quantum N = 3, D = 3 Chern-Simons matter theories in harmonic superspace. / Buchbinder, I. L.; Ivanov, E. A.; Lechtenfeld, O. et al.
in: Journal of high energy physics, Jahrgang 2009, Nr. 10, 075, 2009.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Buchbinder, I. L., Ivanov, E. A., Lechtenfeld, O., Pletnev, N. G., Samsonov, I. B., & Zupnik, B. M. (2009). Quantum N = 3, D = 3 Chern-Simons matter theories in harmonic superspace. Journal of high energy physics, 2009(10), Artikel 075. https://doi.org/10.1088/1126-6708/2009/10/075
Buchbinder IL, Ivanov EA, Lechtenfeld O, Pletnev NG, Samsonov IB, Zupnik BM. Quantum N = 3, D = 3 Chern-Simons matter theories in harmonic superspace. Journal of high energy physics. 2009;2009(10):075. doi: 10.1088/1126-6708/2009/10/075
Buchbinder, I. L. ; Ivanov, E. A. ; Lechtenfeld, O. et al. / Quantum N = 3, D = 3 Chern-Simons matter theories in harmonic superspace. in: Journal of high energy physics. 2009 ; Jahrgang 2009, Nr. 10.
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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

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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

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SN - 1126-6708

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