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

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

2004-04-02

arxiv.org/abs/hep-th/0404023v2

Physics

High Energy Physics

High Energy Physics - Theory

62 pages, harvmac; references added

Scientific paper

We consider families of theories with large N=4 superconformal symmetry. We define an index generalizing the elliptic genus of theories with N=2 symmetry. In contrast to the N=2 case, the new index constrains part of the non-BPS spectrum. Motivated by aspects of the AdS/CFT correspondence we study the index in the examples of symmetric product theories. We give a physical interpretation of the Hecke operators which appear in the expressions for partition functions of such theories. Finally, we compute the index for a nontrivial example of a symmetric product theory.

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