CHARACTER FORMULAS FOR COSET N=2 SUPERCONFORMAL THEORIES

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Abstract
Given a hermitian symmetric space G/H×U(1) (HSS) one can interpret the coset model G×G/G with central charge c=0 as the twisted version of N=2 HSS superconformal models. The states with zero conformal weight in c=0 coset theory form an orbit under the action of the Weyl group of G. In N=2 theory these degenerate states under the Weyl group are resolved into the chiral primary states. We argue that the branching functions in c=0 coset theory yield the Witten index in N=2 theory. Then the spectral flow allows us to explicitly calculate the character formulas in N=2 HSS theories.

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