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

doi:10.48550/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

Research output: Working paper › Preprint

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".

Original language	English
Publisher	arXiv.org
DOIs	https://doi.org/10.48550/arXiv.1811.06670
Publication status	Submitted - 11 Dec 2018
Externally published	Yes

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Name	arXiv

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title = "From categories to anyons: a travelogue",

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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AU - Bondarenko, Dmytro

AU - Hahn, Alexander

AU - Kalabakov, Maria

AU - Knust, Nicole

AU - Niermann, Laura

AU - Osborne, Tobias J.

AU - Schridde, Christin

AU - Seckmeyer, Stefan

AU - Stiegemann, Deniz E.

AU - Wolf, Ramona

PY - 2018/12/11

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M3 - Preprint

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BT - From categories to anyons

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ER -

From categories to anyons: a travelogue

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