Global form of flavor symmetry groups in Twisted A_{2N} Class S Theories

Four-dimensional quantum field theories with N=2 supersymmetry provide a rich theoretical laboratory to test general ideas about quantum field theory. A large class of such theories, known as Class S, arise from compactification of a six-dimensional N = (2,0) theory on a punctured Riemann surface. The N = (2,0) theories have an ADE classification, and those of type A,D, and E_6 give rise to a twisted sector of the corresponding class S theories. These theories, in turn, can have interesting 2-group symmetries, which provide additional tools for understanding their physics. In this work, we complete the preliminary step of determining the 0-form symmetry group of twisted A_{2N} theories, whose 2-group symmetries have not yet been studied.

Publication Details

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DigitalCommons-IMSA (Illinois Mathematics and Science Academy)
Published
2025-04-17
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Fossil Insects in Amber
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article

Global form of flavor symmetry groups in Twisted A_{2N} Class S Theories

DigitalCommons-IMSA (Illinois Mathematics and Science Academy)
Fossil Insects in Amber
article

Global form of flavor symmetry groups in Twisted A_{2N} Class S Theories

article en

Abstract

Four-dimensional quantum field theories with N=2 supersymmetry provide a rich theoretical laboratory to test general ideas about quantum field theory. A large class of such theories, known as Class S, arise from compactification of a six-dimensional N = (2,0) theory on a punctured Riemann surface. The N = (2,0) theories have an ADE classification, and those of type A,D, and E_6 give rise to a twisted sector of the corresponding class S theories. These theories, in turn, can have interesting 2-group symmetries, which provide additional tools for understanding their physics. In this work, we complete the preliminary step of determining the 0-form symmetry group of twisted A_{2N} theories, whose 2-group symmetries have not yet been studied.

DigitalCommons-IMSA (Illinois Mathematics and Science Academy)
Openalex Percentile: Top 40%
Fossil Insects in Amber
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Global form of flavor symmetry groups in Twisted A_{2N} Class S Theories · DigitalCommons-IMSA (Illinois Mathematics and Science Academy) (2025) | TGRS Research Map | TGRS