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  Superconformal indices of three-dimensional theories related by mirror symmetry

Krattenthaler, C., Spiridonov, V. P., & Vartanov, G. S. (2011). Superconformal indices of three-dimensional theories related by mirror symmetry. Journal of High Energy Physics, 2011: 008. doi:10.1007/JHEP06(2011)008.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0011-3030-9 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0011-3032-5
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 Creators:
Krattenthaler, C., 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: Recently, Kim and Imamura and Yokoyama derived an exact formula for superconformal indices in three-dimensional field theories. Using their results, we prove analytically the equality of superconformal indices in some U(1)-gauge group theories related by the mirror symmetry. The proofs are based on the well known identities of the theory of $q$-special functions. We also suggest the general index formula taking into account the $U(1)_J$ global symmetry present for abelian theories.

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 Dates: 2011-03-212011
 Publication Status: Issued
 Pages: 17 pages
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 Rev. Type: -
 Identifiers: arXiv: 1103.4075
URI: http://arxiv.org/abs/1103.4075
DOI: 10.1007/JHEP06(2011)008
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Title: Journal of High Energy Physics
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2011 Sequence Number: 008 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002_1