String-net methods for CFT correlators | Vidéo | Carmin.tv

String-net methods for CFT correlators

By Christoph Schweigert

Appears in collection : 2023 - T2 - WS1 - GAP XVIII: Homotopy algebras and higher structures

Based on a graphical calculus for pivotal bicategories, we develop a string-net construction of a modular functor. We show that a rigid separable Frobenius functor between strictly pivotal bicategories induces a linear map between the corresponding bicategorical string-net spaces that is compatible with the mapping class group actions and with sewing. This result implies that correlators of two-dimensional conformal field theories factorize over string-net spaces constructed from defect data.

Information about the video

Date of recording 25/05/2023
Date of publication 25/05/2023
Institution IHP
Language English
Audience Researchers
Director(s) Alexandre Duplessis
Format MP4
Venue Amphitheater Hermite, IHP

Domain(s)

Quantum Algebra

Bibliography

Jürgen Fuchs, Christoph Schweigert, Yang Yang : String-net models for pivotal bicategories / arXiv:2302.01468

MSC codes

81T40 Two-dimensional field theories, conformal field theories, etc.

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