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arXiv · 1811.06670

From categories to anyons: a travelogue

Kerstin Beer·Dmytro Bondarenko·Alexander Hahn·Maria Kalabakov·Nicole Knust·Laura Niermann·Tobias J. Osborne·Christin Schridde·Stefan Seckmeyer·Deniz E. Stiegemann·Ramona Wolf
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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".

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Kerstin Beer, Dmytro Bondarenko, Alexander Hahn, Maria Kalabakov, Nicole Knust, Laura Niermann, Tobias J. Osborne, Christin Schridde, Stefan Seckmeyer, Deniz E. Stiegemann, Ramona Wolf. 2018-11-14. From categories to anyons: a travelogue. https://arxiv.org/abs/1811.06670

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