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  From 4d superconformal indices to 3d partition functions

Dolan, F. A. H., Spiridonov, V. P., & Vartanov, G. S. (2011). From 4d superconformal indices to 3d partition functions. Physics Letters B, 704 (3), 234-241. doi:10.1016/j.physletb.2011.09.007.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0011-51A4-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0011-51A8-A
Genre: Journal Article

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1104.1787 (Preprint), 182KB
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 Creators:
Dolan, F. A. H., Author
Spiridonov, V. P., Author
Vartanov, G. S.1, Author              
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: An exact formula for partition functions in 3d field theories was recently suggested by Jafferis, and Hama, Hosomichi, and Lee. These functions are expressed in terms of specific $q$-hypergeometric integrals whose key building block is the double sine function (or the hyperbolic gamma function). Elliptic hypergeometric integrals, discovered by the second author, define 4d superconformal indices. Using their reduction to the hyperbolic level, we describe a general scheme of reducing 4d superconformal indices to 3d partition functions. As an example, we consider explicitly the duality pattern for 3d $\mathcal{N}=2$ SYM and CS theories with SP(2N) gauge group with adjoint matter.

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 Dates: 2011-04-102011-092011
 Publication Status: Published in print
 Pages: 11 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1104.1787
DOI: 10.1016/j.physletb.2011.09.007
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Title: Physics Letters B
Source Genre: Journal
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Publ. Info: North-Holland
Pages: - Volume / Issue: 704 (3) Sequence Number: - Start / End Page: 234 - 241 Identifier: ISSN: 0370-2693
CoNE: https://pure.mpg.de/cone/journals/resource/954925524777