17 citations · 26 across the 5 of their papers we have counts for
5 papers
Diffeomorphisms as quadratic charges in 4d BF theory and related TQFTs
Marc Geiller, Florian Girelli, Christophe Goeller +1
We present a Sugawara-type construction for boundary charges in 4d BF theory and in a general family of related TQFTs. Starting from the underlying current Lie algebra of boundary…
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…
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…
Discretization of 4d Poincaré BF theory: from groups to 2-groups
Florian Girelli, Panagiotis Tsimiklis
We study the discretization of a Poincaré/Euclidean BF theory. Upon the addition of a boundary term, this theory is equivalent to the BFCG theory defined in terms of the Poincaré/E…
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…