From categories to anyons: a travelogue

Research output: Working paper/Preprint › Preprint

Authors

  • 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 Organisations

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Details

Original languageEnglish
Publication statusE-pub ahead of print - 14 Nov 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".

Keywords

    quant-ph, cond-mat.str-el, hep-th

Cite this

From categories to anyons: a travelogue. / Beer, Kerstin; Bondarenko, Dmytro; Hahn, Alexander et al.
2018.

Research output: Working paper/Preprint › Preprint

Beer, K, Bondarenko, D, Hahn, A, Kalabakov, M, Knust, N, Niermann, L, Osborne, TJ, Schridde, C, Seckmeyer, S, Stiegemann, DE & Wolf, R 2018 'From categories to anyons: a travelogue'. < http://arxiv.org/abs/1811.06670v2>
Beer, K., Bondarenko, D., Hahn, A., Kalabakov, M., Knust, N., Niermann, L., Osborne, T. J., Schridde, C., Seckmeyer, S., Stiegemann, D. E., & Wolf, R. (2018). From categories to anyons: a travelogue. Advance online publication. http://arxiv.org/abs/1811.06670v2
Beer K, Bondarenko D, Hahn A, Kalabakov M, Knust N, Niermann L et al. From categories to anyons: a travelogue. 2018 Nov 14. Epub 2018 Nov 14.
Beer, Kerstin ; Bondarenko, Dmytro ; Hahn, Alexander et al. / From categories to anyons : a travelogue. 2018.
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