Published April 2, 2004
| Submitted
Discussion Paper
Open
An Index for 2D field theories with large N=4 superconformal symmetry
Chicago
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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.
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.Attached Files
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Additional details
- Eprint ID
- 66686
- Resolver ID
- CaltechAUTHORS:20160505-105657599
- Clay Mathematics Institute
- Department of Energy (DOE)
- DE-FG02-90ER40560
- Department of Energy (DOE)
- DE-FG02-96ER40949
- Department of Energy (DOE)
- DE-FG02-91ER40654
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2016-05-05Created from EPrint's datestamp field
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2023-06-01Created from EPrint's last_modified field