Global form of flavor symmetry groups in Twisted A_{2N} Class S Theories
Session Number
PHYS 04
Advisor(s)
Anderson Trimm, Illinois Mathematics and Science Academy
Discipline
Physical Science
Start Date
17-4-2025 10:45 AM
End Date
17-4-2025 11:00 AM
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.
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.