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CFT Correlators for Cardy Bulk Fields via String-Net Models
Symmetry, integrability and geometry: methods and applications, Tome 17 (2021) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: two-dimensional conformal field theory, string-net models, correlators, Cardy case. 
@article{SIGMA_2021_17_a39,
     author = {Christoph Schweigert and Yang Yang},
     title = {CFT {Correlators} for {Cardy} {Bulk} {Fields} via {String-Net} {Models}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2021},
     volume = {17},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a39/}
}
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Christoph Schweigert; Yang Yang. CFT Correlators for Cardy Bulk Fields via String-Net Models. Symmetry, integrability and geometry: methods and applications, Tome 17 (2021). http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a39/

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