On Realizing Modular Data

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J. Math. Sci. Univ. Tokyo
Vol. 27 (2020), No. 1, Page 65-79.

Bonderson, Parsa; Rowell, Eric C.; Wang, Zhenghan
On Realizing Modular Data
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

Abstract:
We use zesting and symmetry gauging of modular tensor categories to analyze some previously unrealized modular data obtained by Grossman and Izumi. In one case we find all realizations and in the other we determine the form of possible realizations; in both cases all realizations can be obtained from quantum groups at roots of unity.

Keywords: Modular category, modular data, symmetry gauging, zesting.

Mathematics Subject Classification (2010): 18D10.

Mathematical Reviews Number: MR4246625

Received: 2019-10-23

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