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arXiv · 1606.04378

Bantay's trace in Unitary Modular Tensor Categories

Luca Giorgetti·Karl-Henning Rehren
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Abstract

We give a proof of a formula for the trace of self-braidings (in an arbitrary channel) in UMTCs which first appeared in the context of rational conformal field theories (CFTs). The trace is another invariant for UMTCs which depends only on modular data, and contains the expression of the Frobenius-Schur indicator as a special case. Furthermore, we discuss some applications of the trace formula to the realizability problem of modular data and to the classification of UMTCs.

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BibTeXRIS

Luca Giorgetti, Karl-Henning Rehren. 2016-06-14. Bantay's trace in Unitary Modular Tensor Categories. https://doi.org/10.1016/j.aim.2017.08.018

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