Notes on integral identities for 3d supersymmetric dualities

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)

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 and 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:

22 Oct 2019 17:28

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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