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

DOI10.1007/JHEP09(2023)161arXiv2206.07073MaRDI QIDQ6056983

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Publication date: 25 October 2023

Published in: (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/2206.07073

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