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

Gukov, Sergei and Martinec, Emil and Moore, Gregory and Strominger, Andrew (2004) An Index for 2D field theories with large N=4 superconformal symmetry. . (Submitted)

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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.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Gukov, Sergei0000-0002-9486-1762
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.
Funding AgencyGrant Number
Clay Mathematics InstituteUNSPECIFIED
Department of Energy (DOE)DE-FG02-90ER40560
Department of Energy (DOE)DE-FG02-96ER40949
Department of Energy (DOE)DE-FG02-91ER40654
Record Number:CaltechAUTHORS:20160505-105657599
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66686
Deposited By: Tony Diaz
Deposited On:05 May 2016 22:09
Last Modified:09 Mar 2020 13:18

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