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.
On the 6d origin of non-invertible symmetries in 4d / Bashmakov, Vladimir; Del Zotto, Michele; Hasan, Azeem. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2023:9(2023), pp. 1-25. [10.1007/jhep09(2023)161]
On the 6d origin of non-invertible symmetries in 4d
Bashmakov, Vladimir;Del Zotto, Michele;
2023-01-01
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.| File | Dimensione | Formato | |
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