Unifying constructions of non-invertible symmetries

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Bhardwaj, LakshyaMathematical Institute, University of Oxford, Andrew-Wiles Building, Woodstock Road, Oxford, OX2 6GG, UK, Andrew-Wiles Building, Woodstock Road (författare)

QC 20231026
In the past year several constructions of non-invertible symmetries in Quantum Field Theory in d ≥ 3 have appeared. In this paper we provide a unified perspective on these constructions. Central to this framework are so-called theta defects, which generalize the notion of theta-angles, and allow the construction of universal and non-universal topological symmetry defects. We complement this physical analysis by proposing a mathematical framework (based on higher-fusion categories) that converts the physical construction of non-invertible symmetries into a concrete computational scheme.

Schäfer-Nameki, SakuraMathematical Institute, University of Oxford, Andrew-Wiles Building, Woodstock Road, Oxford, OX2 6GG, UK, Andrew-Wiles Building, Woodstock Road (författare)
Tiwari, ApoorvKTH,Kondenserade materiens teori(Swepub:kth)u1lp2pen (författare)
Mathematical Institute, University of Oxford, Andrew-Wiles Building, Woodstock Road, Oxford, OX2 6GG, UK, Andrew-Wiles Building, Woodstock RoadKondenserade materiens teori (creator_code:org_t)

Av författaren/redakt...: Bhardwaj, Lakshy ...; Schäfer-Nameki, ...; Tiwari, Apoorv

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