Geometric interpretation of the large N=4 index

Details Geometric interpretation of the large N=4 index Geometric interpretation of the large N=4 index

2004-09-16

arxiv.org/abs/hep-th/0409175v1

Nucl.Phys. B706 (2005) 491-517

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTex

Scientific paper

10.1016/j.nuclphysb.2004.11.049

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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