Mixed anomalies, higher form symmetries, two-group symmetries and non-invertible symmetries have proved to be useful in providing non-trivial constraints on the dynamics of quantum field theories. We study mixed anomalies involving discrete zero-form global symmetries, and possibly a one-form symmetry, in 3d N≥ 3 gauge theories using the superconformal index. The effectiveness of this method is demonstrated via several classes of theories, including Chern-Simons-matter theories, such as the U(1)k gauge theory with hypermultiplets of diverse charges, the T (SU(N)) theory of Gaiotto-Witten, the theories with so(2N)2k gauge algebra and hypermultiplets in the vector representation, and variants of the Aharony-Bergman-Jafferis (ABJ) theory with the orthosymplectic gauge algebra. Gauging appropriate global symmetries of some of these models, we obtain various interesting theories with non-invertible symmetries or two-group structures.

Mekareeya, N., Sacchi, M. (2023). Mixed anomalies, two-groups, non-invertible symmetries, and 3d superconformal indices. JOURNAL OF HIGH ENERGY PHYSICS, 2023(1) [10.1007/jhep01(2023)115].

Mixed anomalies, two-groups, non-invertible symmetries, and 3d superconformal indices

Noppadol Mekareeya;Matteo Sacchi
2023

Abstract

Mixed anomalies, higher form symmetries, two-group symmetries and non-invertible symmetries have proved to be useful in providing non-trivial constraints on the dynamics of quantum field theories. We study mixed anomalies involving discrete zero-form global symmetries, and possibly a one-form symmetry, in 3d N≥ 3 gauge theories using the superconformal index. The effectiveness of this method is demonstrated via several classes of theories, including Chern-Simons-matter theories, such as the U(1)k gauge theory with hypermultiplets of diverse charges, the T (SU(N)) theory of Gaiotto-Witten, the theories with so(2N)2k gauge algebra and hypermultiplets in the vector representation, and variants of the Aharony-Bergman-Jafferis (ABJ) theory with the orthosymplectic gauge algebra. Gauging appropriate global symmetries of some of these models, we obtain various interesting theories with non-invertible symmetries or two-group structures.
Articolo in rivista - Articolo scientifico
Anomalies in Field and String Theories; Chern-Simons Theories; Global Symmetries; Supersymmetric Gauge Theory;
English
20-gen-2023
2023
2023
1
115
none
Mekareeya, N., Sacchi, M. (2023). Mixed anomalies, two-groups, non-invertible symmetries, and 3d superconformal indices. JOURNAL OF HIGH ENERGY PHYSICS, 2023(1) [10.1007/jhep01(2023)115].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/415681
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