Wess-Zumino term in the N = 4 SYM effective action revisited

Dmitry V. Belyaev, Igor B. Samsonov

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


The low-energy effective action for the N = 4 super Yang-Mills on the Coulomb branch is known to include an SO(6)-invariant Wess-Zumino (WZ) term for the six scalar fields. For each maximal, non-anomalous subgroup of the SU(4) R-symmetry, we find a four-dimensional form of the WZ term with this subgroup being manifest. We then show that a recently proposed expression for the four-derivative part of the effective action in N = 4 USp(4) harmonic superspace yields the WZ term with manifest SO(5) R-symmetry subgroup. The N = 2 SU(2) harmonic superspace form of the effective action produces the WZ term with manifest SO(4) × SO(2). We argue that there is no four-dimensional form of the WZ term with manifest SU(3) R-symmetry, which is relevant for N = 1 and N = 3 superspace formulations of the effective action.

Original languageEnglish
Article number112
JournalJournal of High Energy Physics
Issue number4
Publication statusPublished - 2011
Externally publishedYes


  • Anomalies in field and string theories
  • Extended supersymmetry
  • Global symmetries
  • Supersymmetric effective theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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