Group field theory on 2-groups

Autor: Girelli, Florian, Laudonio, Matteo, Tanasa, Adrian, Tsimiklis, Panagiotis
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: Group field theories are quantum field theories built on groups. They can be seen as a tool to generate topological state-sums or quantum gravity models. For four dimensional manifolds, different arguments have pointed towards 2-groups (such as crossed modules) as the relevant symmetry structure to probe four dimensional topological features. Here, we introduce a group field theory built on crossed modules which generate a four dimensional topological model, as we prove that the Feynman diagram amplitudes can be related by Pachner moves. This model is presumably the dual version of the Yetter-Mackaay model.
Databáze: arXiv