Non-Invertible Symmetries in d>2

          @misc{ scivideos_PIRSA:22060007,
            doi = {10.48660/22060007},
            url = {https://pirsa.org/22060007},
            author = {Kaidi, Justin},
            keywords = {Mathematical physics},
            language = {en},
            title = {Non-Invertible Symmetries in d>2},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2022},
            month = {jun},
            note = {PIRSA:22060007 see, \url{https://scivideos.org/index.php/pirsa/22060007}}
          }
          

Abstract

In this talk I will review some recent progress in the study of non-invertible symmetries in dimensions d>2. After introducing known constructions and describing how they lead to constraints on RG flows, I will discuss how non-invertible symmetries can also be used to obtain new RG flows. This involves the notion of ``non-invertible twisted compactification,” which can be used to construct e.g. novel 3d N=6 theories from 4d N=4 SYM. Finally, I will describe upcoming work in which we give a partial criterion for determining whether a given non-invertible symmetry is ``intrinsically non-invertible”, or whether it can be recast (in an appropriate sense) as a standard invertible symmetry with an anomaly.