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The low-energy N = 4 SYM effective action in diverse harmonic superspaces

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Abstract

We review various superspace approaches to the description of the low-energy effective action in N = 4 super Yang–Mills (SYM) theory. We consider the four-derivative part of the low-energy effective action in the Coulomb branch. The typical components of this effective action are the gauge field F 4/X 4 and the scalar field Wess–Zumino terms. We construct N = 4 supersymmetric completions of these terms in the framework of different harmonic superspaces supporting N = 2,3,4 supersymmetries. These approaches are complementary to each other in the sense that they make manifest different subgroups of the total SU(4) R-symmetry group. We show that the effective action acquires an extremely simple form in those superspaces which manifest the non-anomalous maximal subgroups of SU(4). The common characteristic feature of our construction is that we restore the superfield effective actions exclusively by employing the N = 4 supersymmetry and/or superconformal PSU(2, 2| 4) symmetry.

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Authors and Affiliations

  1. Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk, 634061, Russia

    I. L. Buchbinder

  2. Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Moscow oblast, 141980, Russia

    E. A. Ivanov

  3. School of Physics M013, The University of Western Australia, Crawley, W.A. 6009, Australia

    I. B. Samsonov

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  1. I. L. Buchbinder
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  2. E. A. Ivanov
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  3. I. B. Samsonov
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Correspondence to I. L. Buchbinder.

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Buchbinder, I.L., Ivanov, E.A. & Samsonov, I.B. The low-energy N = 4 SYM effective action in diverse harmonic superspaces. Phys. Part. Nuclei 48, 333–388 (2017). https://doi.org/10.1134/S1063779617030042

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