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This article is cited in 6 scientific papers (total in 6 papers)
CFT Correlators for Cardy Bulk Fields via String-Net Models
Christoph Schweigert, Yang Yang Fachbereich Mathematik, Universität Hamburg, Bereich Algebra und Zahlentheorie,Bundesstraße 55, 20146 Hamburg, Germany
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.
Keywords:
two-dimensional conformal field theory, string-net models, correlators, Cardy case.
Received: November 1, 2020; in final form April 12, 2021; Published online April 21, 2021
Citation:
Christoph Schweigert, Yang Yang, “CFT Correlators for Cardy Bulk Fields via String-Net Models”, SIGMA, 17 (2021), 040, 22 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1723 https://www.mathnet.ru/eng/sigma/v17/p40
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Abstract page: | 103 | Full-text PDF : | 21 | References: | 23 |
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