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arXiv · 2111.05228

Modular tensor categories, subcategories, and Galois orbits

Julia Plavnik·Andrew Schopieray·Zhiqiang Yu·Qing Zhang
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Abstract

We establish a set of general results to study how the Galois action on modular tensor categories interacts with fusion subcategories. This includes a characterization of fusion subcategories of modular tensor categories which are closed under the Galois action, and a classifcation of modular tensor categories which factor as a product of pointed and transitive categories in terms of pseudoinvertible objects. As an application, we classify modular tensor categories with two Galois orbits of simple objects and a nontrivial grading group.

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Julia Plavnik, Andrew Schopieray, Zhiqiang Yu, Qing Zhang. 2021-11-09. Modular tensor categories, subcategories, and Galois orbits. https://arxiv.org/abs/2111.05228

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