Modular Invariants of N=2 Supersymmetric SU(1,1) Models

Abstract

We study the modular invariance of N=2 superconformal SU(1,1) models. By decomposing the characters of Kazama-Suzuki model SU(3)/(SU(2)× U(1)) into an infinite sum of the characters of (SU(1,1)/U(1))× U(1) we construct modular invariant partition functions of (SU(1,1)/U(1))× U(1).

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