Spectral Flow and Feigin-Fuks Parameter Space of N=4 Superconformal Algebras

Abstract

The parameter space of the Feigin-Fuks representations of the N=4 SU(2)${}_k$ superconformal algebras is studied from the viewpoint of the specral flow. The $\eta$ phase of the spectral flow is nicely incorporated through twisted fermions and the spectral flow resulting from the inner automorphism of the N=4 superconformal algebras is explicitly shown to be operating as identiy relations among the generators. Conditions for the unitary representations are also investigated in our Feigin-Fuks parameter space.

LaTeX file, 21 pages, 1 figure(ps file)

References in corpus (4)

• Free Field Representations and Screening Operators for the $N=4$ Doubly Extended Superconformal Algebras
• Coulomb Gas Representations and Screening Operators of the N=4 Superconformal Algebras
• Feigin-Fuchs Representations for Nonequivalent Algebras of N=4 Superconformal Symmetery
• Representation Blocks of Conformal Fields for the $N$=4 SU(2)${}_k$ Superconformal Algebras

Cited by in corpus (2)

• Duality in N=4 Liouville Theory and Moonshine Phenomena
• Non-Compact SCFT and Mock Modular Forms