151 citations · 1k across the 42 of their papers we have counts for
13 papers · 1 filter
Beyond Noether: A Covariant Study of Poisson-Lie Symmetries in Low Dimensional Field Theory
Florian Girelli, Christopher Pollack, Aldo Riello
We explore global Poisson-Lie (PL) symmetries using a Lagrangian, or "covariant phase space" approach, that manifestly preserves spacetime covariance. PL symmetries are the classic…
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…
Gauging the Gauge and Anomaly Resolution
Hank Chen, Florian Girelli
In this paper, we explore the algebraic and geometric structures that arise from a procedure we dub "gauging the gauge", which involves the promotion of a certain global, coordinat…
Group field theory on quantum groups
Florian Girelli, Matteo Laudonio
We introduce the framework of Hopf algebra field theory (HAFT) which generalizes the notion of group field theory to the quantum group (Hopf algebra) case. We focus in particular o…
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…
(2-)Drinfel'd Double and (2-)BF Theory
Hank Chen, Florian Girelli
The gauge symmetry and shift/translational symmetry of a 3D BF action, which are associated to a pair of dual Lie algebras, can be combined to form the Drinfel'd double. This combi…