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H.-C. Kim, S. S. Razamat, C. Vafa, and G. Zafrir, “D-type Conformal Matter and SU/USp Quivers,” JHEP
Original
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2018
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2019
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Original
2019
Later among the works it cites.
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2022

On the 6d Origin of Non-invertible Symmetries in 4d

Bashmakov, Vladimir, Del Zotto, Michele, Hasan, Azeem

Understand

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.