4 papers
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…
Hopf 2-algebras and Braided Monoidal 2-Categories
Hank Chen, Florian Girelli
Following the theory of principal -bundles of Niklaus-Schreiber-Steveson, we develop a homotopy categorification of Hopf algebras, which model quantum groups. We study thei…
Teleparallel gravity at null infinity
Florian Girelli, Jianhui Qiu, Céline Zwikel
Four-dimensional asymptotically flat spacetimes have been central to recent developments in infrared physics. Gravitational waves reaching the asymptotic boundary reveal an infinit…
Origin of the quantum group symmetry in 3d quantum gravity
Maïté Dupuis, Laurent Freidel, Florian Girelli +2
It is well-known that quantum groups are relevant to describe the quantum regime of 3d gravity. They encode a deformation of the gauge symmetries parametrized by the value of the c…