String Net Construction of RCFT Correlators is popular PDF and ePub book, written by Jürgen Fuchs in 2023-01-01, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, String Net Construction of RCFT Correlators can be Read Online from any device for your convenience.
String Net Construction of RCFT Correlators Book PDF Summary
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.
Detail Book of String Net Construction of RCFT Correlators PDF
- Author : Jürgen Fuchs
- Release : 01 January 2023
- Publisher : Springer Nature
- ISBN : 9783031146824
- Genre : Science
- Total Page : 129 pages
- Language : English
- PDF File Size : 14,7 Mb
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