Titlebook: String-Net Construction of RCFT Correlators; Jürgen Fuchs,Christoph Schweigert,Yang Yang Book 2022 The Author(s), under exclusive license

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https://doi.org/10.1007/978-3-031-14682-4Conformal field theory (CFT); String net model; Skein theory; CFT correlators; Two-dimensional rational

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,Internal Eckmann–Hilton Relation,ch we call the ., we introduce three braided colored operads. The string-net correlator defined in Sect. . provides a morphism from the braided colored operad of world sheets to the one of string nets.

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Introduction,The main topic of this book is a novel construction of the correlators of two-dimensional rational conformal field theories on arbitrary world sheets, allowing in particular for physical boundaries as well as for defects and general defect junctions.

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Correlators in Rational Conformal Field Theory,In this chapter we turn the physics task of finding correlation functions into the mathematically precise problem of determining specific elements in spaces of conformal blocks. These spaces are described in terms of an open-closed modular functor.

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