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

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arxiv hep-th/0404023 v2 pith:LBJVK3UA submitted 2004-04-02 hep-th

classification hep-th
keywords indextheoriessymmetrylargeproductsuperconformalsymmetricappear
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. Strings and near-extremal black holes in theories with large $\mathcal{N}=4$ superconformal symmetry

    hep-th 2025-05 conditional novelty 6.0 of 10

    A one-loop worldsheet computation on AdS3×S3×S3×S1 recovers the supergravity spectrum and boundary currents, yields a temperature-dependent BPS index for near-extremal BTZ black holes, and suggests non-unique worldshe...

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