Abstract
The exchange law for ordinary natural transformations turns out to have an analogue for internal natural transformations. To obtain this analogue, which we call the internal Eckmann–Hilton relation, we introduce three braided colored operads. The string-net correlator defined in Sect. 3.5 provides a morphism from the braided colored operad of world sheets to the one of string nets.
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References
J. Fuchs, C. Schweigert, Internal natural transformations and Frobenius algebras in the Drinfeld center. Transform. Groups (2021)
D. Yau, Infinity Operads and Monoidal Categories with Group Equivariance (World Scientific, Singapore, to appear), math.CT/1903.03839
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C. Schweigert, Y. Yang, CFT correlators for Cardy bulk fields via string-net models. SIGMA 17, 040_1–35 (2021)
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Fuchs, J., Schweigert, C., Yang, Y. (2022). Internal Eckmann–Hilton Relation. In: String-Net Construction of RCFT Correlators. SpringerBriefs in Mathematical Physics, vol 45. Springer, Cham. https://doi.org/10.1007/978-3-031-14682-4_5
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DOI: https://doi.org/10.1007/978-3-031-14682-4_5
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