Nondiagonal $CP_m$ Coset Models and their PoincarÉ Polynomials

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages, (RevTex), preprint GTCRG-92-1 and CNEA-CAB-039/92. % Minor changes in the results

Scientific paper

10.1142/S0217751X93001132

$N=2$ coset models of the type $SU(m+1)/SU(m)\times U(1)$ 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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