Canonical non-Abelian dual transformations in supersymmetric field theories

Thomas Curtright, Cosmas Zachos

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


A generating functional F is found for a canonical non-Abelian dual transformation which maps the supersymmetric chiral O(4) σ model to an equivalent supersymmetric extension of the dual σ model. This F produces a mapping between the classical phase spaces of the two theories in which the bosonic (coordinate) fields transform nonlocally, the fermions undergo a local tangent space chiral rotation, and all currents (fermionic and bosonic) mix locally. Purely bosonic curvature-free currents of the chiral model become a symphysis of purely bosonic and fermion bilinear currents of the dual theory. The corresponding transformation functional T which relates wave functions in the two quantum theories is argued to be exactly given by T=exp(iF).

Original languageEnglish (US)
Pages (from-to)R573-R576
JournalPhysical Review D
Issue number2
StatePublished - 1995

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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