Bi-harmonic superspace for N = 4 d = 4 super Yang-Mills

Dmitry V. Belyaev, Igor B. Samsonov

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7 Citations (Scopus)


We develop N = 4 d = 4 bi-harmonic superspace and use it to derive a novel form for the low-energy effective action in N = 4 super Yang-Mills theory. We solve the N = 4 supergauge constraints in this superspace in terms of analytic superfields. Using these superfields, we construct a simple functional that respects N = 4 supersymmetry and scale invariance. In components, it reproduces all on-shell terms in the four-derivative part of the N = 4 SYM effective action; in particular, the F4/X4 and Wess-Zumino terms. The latter comes out in a novel SO(3)×SO(3)-invariant form.

Original languageEnglish
Article number056
JournalJournal of High Energy Physics
Issue number9
Publication statusPublished - 2011
Externally publishedYes


  • Extended Supersymmetry
  • Superspaces
  • Supersymmetric Effective Theories
  • Supersymmetric gauge theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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