Feigin-Fuchs Representations for Nonequivalent Algebras of N=4 Superconformal Symmetery

Details Feigin-Fuchs Representations for Nonequivalent Algebras of N=4 Superconformal Symmetery Feigin-Fuchs Representations for Nonequivalent Algebras of N=4 Superconformal Symmetery

1996-09-24

arxiv.org/abs/hep-th/9609184v1

Mod.Phys.Lett. A11 (1996) 2611-2624

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX file

Scientific paper

The $N=4$ SU(2)$_k$ superconformal algebra has the global automorphism of SO(4) $\approx$ SU(2)$\times$SU(2) with the {\it left} factor as the Kac-Moody gauge symmetry. As a consequence, an infinite set of independent algebras labeled by $\rho$ corresponding to the conjugate classes of the {\it outer} automorphism group SO(4)/SU(2)=SU(2) are obtained \`a la Schwimmer and Seiberg. We construct Feigin-Fuchs representations with the $\rho$ parameter embedded for the infinite set of the $N=4$ nonequivalent algebras. In our construction the extended global SU(2) algebras labeled by $\rho$ are self-consistently represented by fermion fields with appropriate boundary conditions.

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