151 citations · 1k across the 42 of their papers we have counts for
42 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…
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…
Integrability from categorification and the 2-Kac-Moody Algebra
Hank Chen, Florian Girelli
The theory of Lie bialgebras and the classical Yang-Baxter equation plays a major role in the study of 1+1d integrable systems; many families of integrable systems can be recovered…
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…
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…