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TMF, 2010, Volume 165, Number 1, Pages 97–118 (Mi tmf6565)  

This article is cited in 4 scientific papers (total in 4 papers)

Three-dimensional $\mathcal{N}{=}4$ supersymmetry in harmonic $\mathcal{N}{=}3$ superspace

B. M. Zupnik

Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

Abstract: We consider the map of three-dimensional $\mathcal N=4$ superfields to the $\mathcal N=3$ harmonic superspace. The left and right representations of the $\mathcal N=4$ superconformal group are constructed on $\mathcal N=3$ analytic superfields. These representations are convenient for describing $\mathcal N=4$ superconformal couplings of Abelian gauge superfields to hypermultiplets. We investigate the $\mathcal N=4$ invariance in the non-Abelian $\mathcal N=3$ Yang–Mills theory.

Keywords: harmonic superspace, extended supersymmetry, superconformal symmetry

DOI: https://doi.org/10.4213/tmf6565

Full text: PDF file (483 kB)
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English version:
Theoretical and Mathematical Physics, 2010, 165:1, 1315–1334

Bibliographic databases:

Document Type: Article
Received: 20.04.2010

Citation: B. M. Zupnik, “Three-dimensional $\mathcal{N}{=}4$ supersymmetry in harmonic $\mathcal{N}{=}3$ superspace”, TMF, 165:1 (2010), 97–118; Theoret. and Math. Phys., 165:1 (2010), 1315–1334

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Buchbinder I.L., Pletnev N.G., Samsonov I.B., “Low-energy effective actions in three-dimensional extended SYM theories”, Journal of High Energy Physics, 2011, no. 1, 121  crossref  mathscinet  zmath  isi  scopus
    2. Arai M. Sasaki Sh., “Non-Abelian Chern–Simons Actions in Three-Dimensional Projective Superspaces”, Prog. Theor. Exp. Phys., 2014, no. 6, 063B04  crossref  zmath  isi  scopus
    3. Kuzenko S.M. Novak J., “Supergravity-Matter Actions in Three Dimensions and Chern–Simons Terms”, J. High Energy Phys., 2014, no. 5, 093  crossref  mathscinet  zmath  isi  scopus
    4. Buchbinder E.I., Kuzenko S.M., Samsonov I.B., “Implications of N=4 Superconformal Symmetry in Three Spacetime Dimensions”, J. High Energy Phys., 2015, no. 8, 125  crossref  mathscinet  zmath  isi  elib  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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