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.

26 pages, LaTex

References in corpus (1)

• An Index for 2D field theories with large N=4 superconformal symmetry

Cited by in corpus (11)

• The Operator Product Expansion between the 16 Lowest Higher Spin Currents in the N=4 Superspace
• Higher Spin Currents in Wolf Space for Generic N
• Higher Spin Currents in Wolf Space: Part III
• The $\mathcal{N}=4$ Coset Model and the Higher Spin Algebra
• The Next $16$ Higher Spin Currents and Three-Point Functions in the Large $\mathcal{N}=4$ Holography
• Three Point Functions in the N=4 Orthogonal Coset Theory
• The Operator Product Expansions in the $\mathcal{N}=4$ Orthogonal Wolf Space Coset Model
• Adding Complex Fermions to the Grassmannian-like Coset Model
• Wolf Space Coset Spectrum in the Large $\mathcal{N}=4$ Holography
• Higher Spin Currents with Manifest $SO(4)$ Symmetry in the Large $\mathcal{N}=4$ Holography
• Young supertableaux and the large $\mathcal{N}=4$ superconformal algebra