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From categories to anyons: a travelogue

Authors :
Beer, Kerstin
Bondarenko, Dmytro
Hahn, Alexander
Kalabakov, Maria
Knust, Nicole
Niermann, Laura
Osborne, Tobias J.
Schridde, Christin
Seckmeyer, Stefan
Stiegemann, Deniz E.
Wolf, Ramona
Publication Year :
2018

Abstract

In this paper we provide an overview of category theory, focussing on applications in physics. The route we follow is motivated by the final goal of understanding anyons and topological QFTs using category theory. This entails introducing modular tensor categories and fusion rings. Rather than providing an in-depth mathematical development we concentrate instead on presenting the "highlights for a physicist".<br />Comment: 38 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1811.06670
Document Type :
Working Paper