Gukov, Sergei and Martinec, Emil and Moore, Gregory and Strominger, Andrew
(2004)
*An Index for 2D field theories with large N=4 superconformal symmetry.*
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https://resolver.caltech.edu/CaltechAUTHORS:20160505-105657599

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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.

Item Type: | Report or Paper (Discussion Paper) | ||||||||||
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Additional Information: | G.M. would like to that the KITP for hospitality during the course of some of this work. This work was conducted during the period S.G. served as a Clay Mathematics Institute Long-Term Prize Fellow. The work of E.M. is supported in part by DOE grant DE-FG02-90ER40560, that of G.M. by DOE grant DE-FG02-96ER40949 and that of A.S. and S.G. by DE-FG02-91ER40654. | ||||||||||

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Record Number: | CaltechAUTHORS:20160505-105657599 | ||||||||||

Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160505-105657599 | ||||||||||

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ID Code: | 66686 | ||||||||||

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Deposited By: | Tony Diaz | ||||||||||

Deposited On: | 05 May 2016 22:09 | ||||||||||

Last Modified: | 09 Mar 2020 13:18 |

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