Geometric interpretation of the large N=4 index

Abstract

We study WZW models with the large N=4 superconformal symetry. Our main result is a geometric interpretation of the large N=4 index. In particular, we find that states contributing to the index belong to spectral flow orbits of special RR ground states. We use (anti-)holomorphic differentials with torsion to clarify the geometric meaning of these states in terms of differential forms on the target space.

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