String-net methods for CFT correlators

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
Licence CC BY-NC-ND
Language English
Audience Researchers
Director(s) Alexandre Duplessis
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2023.T2.WS1.009
Cite this video Schweigert, Christoph (25/05/2023). String-net methods for CFT correlators. IHP. Audiovisual resource. DOI: 10.57987/IHP.2023.T2.WS1.009
URL https://dx.doi.org/10.57987/IHP.2023.T2.WS1.009