PIRSA:22100041

Hamiltonian Gauge Theory With Corners I: General Theory

Schiavina, M. (2022). Hamiltonian Gauge Theory With Corners I: General Theory. Perimeter Institute. https://pirsa.org/22100041

Schiavina, Michele. Hamiltonian Gauge Theory With Corners I: General Theory. Perimeter Institute, Oct. 04, 2022, https://pirsa.org/22100041 

          @misc{ pirsa_PIRSA:22100041,
            doi = {10.48660/22100041},
            url = {https://pirsa.org/22100041},
            author = {Schiavina, Michele},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Hamiltonian Gauge Theory With Corners I: General Theory},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {oct},
            note = {PIRSA:22100041 see, \url{https://pirsa.org}}
          }

Michele Schiavina

ETH Zurich

Talk number
PIRSA:22100041
Collection
Talk Type
Subject
Abstract
I will present an analysis of the Hamiltonian formulation of gauge theories on manifolds with corners in the particular, yet common, case in which they admit an equivariant momentum map. In the presence of corners, the momentum map splits into a part encoding “Cauchy data” or constraints, and a part encoding the “flux” across the corner. This decomposition plays an important role in the construction of the reduced phase space, which then becomes an application of symplectic reduction in stages for local group actions. The output of this analysis are natural "corner" Poisson structures, leading to the concept of (classical) flux superselection sectors as their symplectic leaves. This is based on a collaboration with A. Riello. My talk will cover the general framework of corner superselection, while Riello’s talk will deal with its application to null boundaries and soft charges.