It 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 2d free field correlators. We discuss various examples in the context 4dN = 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 E6.

Bottini, L., Hwang, C., Pasquetti, S., Sacchi, M. (2022). Dualities from dualities: the sequential deconfinement technique. JOURNAL OF HIGH ENERGY PHYSICS, 2022(5) [10.1007/jhep05(2022)069].

Dualities from dualities: the sequential deconfinement technique

Chiung Hwang
;
Sara Pasquetti;Matteo Sacchi
2022

Abstract

It 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 2d free field correlators. We discuss various examples in the context 4dN = 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 E6.
Articolo in rivista - Articolo scientifico
Duality in Gauge Field Theories; Supersymmetric Gauge Theory; Supersymmetry and Duality;
English
Bottini, L., Hwang, C., Pasquetti, S., Sacchi, M. (2022). Dualities from dualities: the sequential deconfinement technique. JOURNAL OF HIGH ENERGY PHYSICS, 2022(5) [10.1007/jhep05(2022)069].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/399291
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