Group field theory on 2-groups
High Energy Physics - Theory
2022-05-13 v1
Abstract
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.
Cite
@article{arxiv.2205.05837,
title = {Group field theory on 2-groups},
author = {Florian Girelli and Matteo Laudonio and Adrian Tanasa and Panagiotis Tsimiklis},
journal= {arXiv preprint arXiv:2205.05837},
year = {2022}
}