3 papers
hep-th2022
Group field theory on 2-groups
Florian Girelli, Matteo Laudonio, Adrian Tanasa +1
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 manif…
hep-th2021
Polyhedron phase space using 2-groups: kappa-Poincare as a Poisson 2-group
Florian Girelli, Matteo Laudonio, Panagiotis Tsimiklis
We construct a phase space for a three dimensional cellular complex with decorations on edges and faces using crossed modules (strict 2-groups) equipped with a (non-trivial) Poisso…
gr-qc2019
Quantum geometry from higher gauge theory
Seth K. Asante, Bianca Dittrich, Florian Girelli +2
Higher gauge theories play a prominent role in the construction of 4d topological invariants and have been long ago proposed as a tool for 4d quantum gravity. The Yetter lattice mo…