A G-Equivariant String-Net Construction.

Autor: DeLazzer Meunier, Adrien, Schweigert, Christoph, Traube, Matthias
Předmět:
Zdroj: Annales Henri Poincaré; Jan2024, Vol. 25 Issue 1, p297-345, 49p
Abstrakt: We develop a string-net construction for the (2,1)-dimensional part of a G-equivariant three-dimensional topological field theory based on a G-graded spherical fusion category. In this construction, a G-equivariant generalization of the Ptolemy groupoid enters. We compute the associated cylinder categories and show that, as expected, the model is closely related to the G-equivariant Turaev–Viro theory. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index