Téléchargez le livre : String-Net Construction of RCFT Correlators

String-Net Construction of RCFT Correlators

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Springer


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SpringerBriefs in Mathematical Physics

Paru le : 2023-01-01

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Description
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.
Pages
123 pages
Collection
SpringerBriefs in Mathematical Physics
Parution
2023-01-01
Marque
Springer
EAN papier
9783031146817
EAN PDF
9783031146824
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
12
Taille du fichier
2468 Ko
Prix
52,74 €
EAN EPUB
9783031146824
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
12
Taille du fichier
18166 Ko
Prix
52,74 €

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