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

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

1996-10-28

arxiv.org/abs/hep-th/9610212v1

Int.J.Mod.Phys. A12 (1997) 4707-4724

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217751X97002516

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.

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