Nondiagonal CPm Coset Models and their Poincar\'E Polynomials

Abstract

N=2 coset models of the type SU(m+1)/SU(m)× U(1) with nondiagonal modular invariants for both SU(m+1) and SU(m) are considered. Poincar\'e polynomials of the corresponding chiral rings of these algebras are constructed. They are used to compute the number of chiral generations of the associated string compactifications. Moddings by discrete symmetries are also discussed.

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