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

Sergei Gukov; Emil Martinec; Gregory Moore; Andrew Strominger

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arXiv · hep-th/0404023

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

Sergei Gukov·Emil Martinec·Gregory Moore·Andrew Strominger

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Abstract

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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Sergei Gukov, Emil Martinec, Gregory Moore, Andrew Strominger. 2004-04-09. An Index for 2D field theories with large N=4 superconformal symmetry. https://arxiv.org/abs/hep-th/0404023

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