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Hidden Supersymmetry as a Key to Constructing Low-Energy Superfield Effective Actions

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Abstract

In this review paper, we outline and exemplify the general method of constructing the superfield low-energy quantum effective action of supersymmetric Yang-Mills (SYM) theories with extended supersymmetry in the Coulomb phase, grounded upon the requirement of invariance under the non-manifest (hidden) part of the underlying supersymmetry. In this way we restore the N = 4 supersymmetric effective actions in 4D, N = 4 SYM, N = 2 supersymmetric effective actions in 5D, N = 2 SYM and N = (1, 1) supersymmetric effective actions in 6D, N = (1, 1) SYM theories. The manifest off-shell fractions of the full supersymmetry are, respectively, 4D, N = 2, 5D, N = 1 and 6D, N = (1, 0) supersymmetries. In all cases the effective actions depend on the corresponding covariant superfield SYM strengths and the hypermultiplet superfields. The whole construction essentially exploits a power of the harmonic superspace formalism.

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Acknowledgments

The authors thank the editors of the Andrei Slavnov jubilee volume for the invitation to contribute to this issue. This review paper is based in part on joint works with Boris Merzlikin, Albert Petrov, Nikolai Pletnev, Igor Samsonov, and Konstantin Stepanyantz. We are sincerely indebted to them.

Funding

This work was supported by the Russian Foundation for Basic Research, project no. 18-02-01046.

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Authors and Affiliations

  1. Faculty of Physics and Mathematics, Tomsk State Pedagogical University, Komsomol’skii pr. 75, Tomsk, 634041, Russia

    I. L. Buchbinder

  2. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, ul. Joliot-Curie 6, Dubna, Moscow oblast, 141980, Russia

    E. A. Ivanov

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  1. I. L. Buchbinder
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  2. E. A. Ivanov
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Correspondence to I. L. Buchbinder or E. A. Ivanov.

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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Vol. 309, pp. 66–88.

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Buchbinder, I.L., Ivanov, E.A. Hidden Supersymmetry as a Key to Constructing Low-Energy Superfield Effective Actions. Proc. Steklov Inst. Math. 309, 57–77 (2020). https://doi.org/10.1134/S0081543820030050

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