String-Net Construction of RCFT Correlators

Language: English

Published by Springer, Springer Jan 2023, 2023

3031146816 / 9783031146817

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 136 pp. Englisch.…

Seller Inventory # 9783031146817

Title
String-Net Construction of RCFT Correlators
Author
Jürgen Fuchs
Publisher
Springer, Springer Jan 2023
Publication year
2023
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3031146816
ISBN 13
9783031146817
Item weight
243 grams
Dimensions
235x155x8 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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