| 书目名称 | String-Net Construction of RCFT Correlators |
| 编辑 | Jürgen Fuchs,Christoph Schweigert,Yang Yang |
| 视频video | |
| 概述 | Shows mathematically rigorous approaches to CFT correlators.Collects mathematical background and fix notation in nine appendiceis |
| 丛书名称 | SpringerBriefs in Mathematical Physics |
| 图书封面 |  |
| 描述 | 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 sam |
| 出版日期 | Book 2022 |
| 关键词 | Conformal field theory (CFT); String net model; Skein theory; CFT correlators; Two-dimensional rational |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-14682-4 |
| isbn_softcover | 978-3-031-14681-7 |
| isbn_ebook | 978-3-031-14682-4Series ISSN 2197-1757 Series E-ISSN 2197-1765 |
| issn_series | 2197-1757 |
| copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2022 |
发表于 2025-3-21 19:48:30
