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Dualities from dualities: the sequential deconfinement technique

Published version
Peer-reviewed

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Authors

Bottini, LE 
Hwang, C 
Pasquetti, S 
Sacchi, M 

Abstract

jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pIt is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities. For example recently it has been shown that mirror dualities can be obtained by iterative applications of Seiberg-like dualities. In this paper we continue this line of investigation focusing on theories with tensor matter. In such cases one can apply the idea of deconfinement, which consists of trading the tensor matter for extra gauge nodes by means of a suitable elementary duality. This gives an auxiliary dual frame which can then be manipulated with further dualizations, in an iterative procedure eventually yielding an interesting dual description of the original theory. The sequential deconfinement technique has avatars in different areas of mathematical physics, such as the study of hypergeometric and elliptic hypergeometric integral identities or of 2jats:italicd</jats:italic> free field correlators. We discuss various examples in the context 4jats:italicd</jats:italic>jats:inline-formulajats:alternativesjats:tex-math$$ \mathcal{N} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:miN</mml:mi> </mml:math></jats:alternatives></jats:inline-formula> = 1 supersymmetric theories, which are related to elliptic hypergeometric integrals. These include a new self-duality involving a quiver theory which exhibits a non-trivial global symmetry enhancement to jats:italicE</jats:italic>jats:sub6</jats:sub>.</jats:p>

Description

Keywords

Regular Article - Theoretical Physics, Duality in Gauge Field Theories, Supersymmetric Gauge Theory, Supersymmetry and Duality

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1029-8479
1029-8479

Volume Title

2022

Publisher

Springer Science and Business Media LLC