Coset Construction and Character Sumrules for the Doubly Extended $N=4$ Superconformal Algebras

Abstract

Character sumrules associated with the realization of the $N=4$ superconformal algebra $\At$ on manifolds corresponding to the group cosets $SU(3)_{\ktp }/U(1)$ are derived and developed as an important tool in obtaining the modular properties of $\At$ characters as well as information on certain extensions of that algebra. Their structure strongly suggests the existence of rational conformal field theories with central charges in the range $1\le c\le 4$. The corresponding characters appear in the massive sector of the sumrules and are completely specified in terms of the characters for the parafermionic theory $SU(3)/(SU(2)\times U(1))$ and in terms of the branching functions of massless $\At$ characters into $SU(2)_{\ktp }\times SU(2)_1$ characters.

31 pages, DTP/92/49 NBI-HE-92-73 (latex file)

References in corpus (1)

• Free Field Representations and Screening Operators for the $N=4$ Doubly Extended Superconformal Algebras

Cited by in corpus (3)

• Resolutions and Characters of Irreducible Representations of the N=2 Superconformal Algebra
• New Identities between Unitary Minimal Virasoro Characters
• $sl(2{)}_{-4}$ WZW Model as an N=4 Supersymmetric Bosonic String with $c=-2$ matter