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arXiv · 1911.10147

CFT Correlators for Cardy Bulk Fields via String-Net Models

Christoph Schweigert·Yang Yang
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Abstract

We show that string-net models provide a novel geometric method to construct invariants of mapping class group actions. Concretely, we consider string-net models for a modular tensor category ${\mathcal C}$. We show that the datum of a specific commutative symmetric Frobenius algebra in the Drinfeld center $Z(\mathcal{C})$ gives rise to invariant string-nets. The Frobenius algebra has the interpretation of the algebra of bulk fields of the conformal field theory in the Cardy case.

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Christoph Schweigert, Yang Yang. 2019-11-22. CFT Correlators for Cardy Bulk Fields via String-Net Models. https://doi.org/10.3842/sigma.2021.040

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