Aghaei, Nezhla; Amariti, Antonio; Sekiguchi, Yuta (2018). Notes on integral identities for 3d supersymmetric dualities. Journal of High Energy Physics, 2018(4) Springer 10.1007/JHEP04(2018)022
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Four dimensional N = 2 Argyres-Douglas theories have been recently conjec- tured to be described by N = 1 Lagrangian theories. Such models, once reduced to 3d, should be mirror dual to Lagrangian N = 4 theories. This has been numerically checked through the matching of the partition functions on the three sphere. In this article, we provide an analytic derivation for this result in the A₂n−1 case via hyperbolic hyperge- ometric integrals. We study the D₄ case as well, commenting on some open questions and possible resolutions. In the second part of the paper we discuss other integral iden- tities leading to the matching of the partition functions in 3d dual pairs involving higher monopole superpotentials.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) 08 Faculty of Science > Institute of Theoretical Physics |
UniBE Contributor: |
Aghaei, Nezhla, Amariti, Antonio, Sekiguchi, Yuta |
Subjects: |
500 Science > 530 Physics |
ISSN: |
1029-8479 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Esther Fiechter |
Date Deposited: |
08 May 2018 09:17 |
Last Modified: |
05 Dec 2022 15:12 |
Publisher DOI: |
10.1007/JHEP04(2018)022 |
ArXiv ID: |
1709.08653 |
BORIS DOI: |
10.7892/boris.114803 |
URI: |
https://boris.unibe.ch/id/eprint/114803 |
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