On the 6d origin of non-invertible symmetries in 4d

• Published in: The journal of high energy physics Vol. 2023; no. 9; pp. 161 - 25
• Main Authors: Bashmakov, Vladimir, Del Zotto, Michele, Hasan, Azeem
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 25-09-2023; Springer Nature B.V; SpringerOpen
• Subjects: Anomalies in Field and String Theories; Classical and Quantum Gravitation; Defects; Discrete Symmetries; Elementary Particles; Field Theories in Higher Dimensions; High energy physics; Physics; Physics and Astronomy; Prime numbers; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Supersymmetry and Duality; Symmetry; Discrete Symmetries; Field Theories in Higher Dimensions; Anomalies in Field and String Theories; Supersymmetry and Duality
• ISSN: 1029-8479; 1126-6708; 1029-8479
• DOI: 10.1007/JHEP09(2023)161

A
bstract
It is well-known that six-dimensional superconformal field theories can be exploited to unravel interesting features of lower-dimensional theories obtained via compactifications. In this short note we discuss a new application of 6d (2,0) theories in constructing 4d theories with Kramers-Wannier-like non-invertible symmetries. Our methods allow to recover previously known results, as well as to exhibit infinitely many new examples of four dimensional theories with “M-ality” defects (arising from operations of order
M
generalizing dualities). In particular, we obtain examples of order
M
=
p
k
, where
p >
1 is a prime number and
k
is a positive integer.