String-net construction of RCFT correlators / Jürgen Fuchs, Christoph Schweigert, Yang Yang
Material type: TextSeries: Publisher: Cham, Switzerland : Springer, [2022]Description: 1 online resource : illustrationsISBN: 9783031146824; 3031146824Subject(s): String models | Lie groups | Quantum field theoryDDC classification: 539.7/258 Online resources: Click here to access online | Click here to access online | Click here to access onlineItem type | Current library | Call number | Status | Date due | Barcode |
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Books | Gabriel Afolabi Ojo Central Library (Headquarters). | JC3232.8 .F83 2022 (Browse shelf(Opens below)) | Available | 0188133 | |
Books | Gabriel Afolabi Ojo Central Library (Headquarters). | JC3232.8 .F83 2022 (Browse shelf(Opens below)) | Available | 0188134 | |
Books | Gabriel Afolabi Ojo Central Library (Headquarters). | JC3232.8 .F83 2022 (Browse shelf(Opens below)) | Available | 0188135 |
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JC599 .H86 2023 Human rights dissemination in Central Asia : human rights education and capacity building in the Post-Soviet space / | JC3232.8 .F83 2022 String-net construction of RCFT correlators / | JC3232.8 .F83 2022 String-net construction of RCFT correlators / | JC3232.8 .F83 2022 String-net construction of RCFT correlators / | JF1051 .G743 2016 The shadow of unfairness : | JF1051 .G743 2016 The shadow of unfairness : | JF1081 .C57 2011 THE INTEGRITY CHALLENGE |
Introduction -- Correlators in rational conformal field theory -- Correlators from string nets -- Correlators of particular interest -- Braided Eckmann-Hilton relation -- Universal correlators -- Appendix
This book studies using string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories. The authors obtain concise geometric expressions for the objects describing bulk and boundary fields in terms of idempotents in the cylinder category of the underlying modular fusion category, comprising more general classes of fields than is standard in the literature. Combining these idempotents with Frobenius graphs on the world sheet yields string nets that form a consistent system of correlators, i.e. a system of invariants under appropriate mapping class groups that are compatible with factorization. The authors extract operator products of field objects from specific correlators; the resulting operator products are natural algebraic expressions that make sense beyond semisimplicity. They also derive an Eckmann-Hilton relation internal to a braided category, thereby demonstrating the utility of string nets for understanding algebra in braided tensor categories. Finally, they introduce the notion of a universal correlator. This systematizes the treatment of situations in which different world sheets have the same correlator and allows for the definition of a more comprehensive mapping class group
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