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arXiv · 1902.09498

Simple current auto-equivalences of modular tensor categories

Cain Edie-Michell
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Abstract

In this short note we investigate the process of constructing auto-equivalences of modular tensor categories using invertible objects. We derive conditions on the invertible object for the resulting auto-equivalence to be either monoidal, braided, or pivotal. We also discuss the composition of these auto-equivalences constructed from invertible objects. To demonstrate the practicality of this construction, we construct auto-equivalences of several real-world examples of modular tensor categories.

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Cain Edie-Michell. 2019-02-25. Simple current auto-equivalences of modular tensor categories. https://arxiv.org/abs/1902.09498

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