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AbstractAbstract
[en] We discuss N=2 coset models with fixed points in their field identification. We determine the corrections to the modular transformations that are needed to resolve the fixed points, and show how to obtain the correct fusion rules. Furthermore we obtain the complete set of chiral Ramond ground states for the grassmannian coset models, and compute the resulting string spectra (number of generations Ng and anti-generations Na) for diagonal invariants. A useful tool in these computations is the Poincare polynomial of the chiral ring, extended with an extra variable to characterize the intersection of the spinor current orbit and the chiral ring. For the non-grassmannian coset theories it is straightforward to compute the Poincare polynomial, but there is an additional technical complication in obtaining the extended polynomial. We show how to circumvent this problem and obtain Ng and Na also for tensor products of these cosets. (orig.)
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Journal Article
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ALGEBRA, ALGEBRAIC CURRENTS, CHIRALITY, CONFORMAL INVARIANCE, CONFORMAL MAPPING, CORRECTIONS, FIELD THEORIES, GROUND STATES, IRREDUCIBLE REPRESENTATIONS, MULTIPLETS, POLYNOMIALS, PROJECTION OPERATORS, SMOOTH MANIFOLDS, SO-10 GROUPS, SO-8 GROUPS, SP GROUPS, SPINORS, STRING MODELS, SU-2 GROUPS, SU-4 GROUPS, U-1 GROUPS
CURRENTS, ENERGY LEVELS, EXTENDED PARTICLE MODEL, FUNCTIONS, INVARIANCE PRINCIPLES, LIE GROUPS, MATHEMATICAL MANIFOLDS, MATHEMATICAL MODELS, MATHEMATICAL OPERATORS, MATHEMATICS, PARTICLE MODELS, PARTICLE PROPERTIES, SO GROUPS, SU GROUPS, SYMMETRY GROUPS, TOPOLOGICAL MAPPING, TRANSFORMATIONS, U GROUPS
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