Asymptotic symmetries in classical gauge theory - bridging between the Hamiltonian- and the BV-BFV perspective

17.01.2025, 11:00  –  Campus Golm, Building 9, Room 2.22 and via Zoom
Arbeitsgruppenseminar Analysis

Lena Janshen (Universität Göttingen)

Some physical systems are described by a mathematical model that has a redundancy. Such a model is called a gauge theory, where redundancies are described by gauge transformations. When the underlying spacetime for a gauge field theory has a boundary or is non-compact, and the fields satisfy fall-off conditions, some gauge transformations acquire physical significance as asymptotic symmetries.

     In this talk, I will unravel the mathematical reason for the appearence of asymptotic symmetries. This reason appears naturally in the Hamiltonian formulation of gauge field theory – a setting ideally suited for gauge theories on globally hyperbolic spacetimes. In the first part of my talk I will focus on this approach. The second part of my talk will be dedicated to a modern framework for gauge theories – well suited for quantization – namely the BV-BFV formalism. I will present to you my work on translating the Hamiltonian understanding of asymptotic symmetries into the BV-BFV framework in the case of electromagnetism, and then compare it with already existing notions in the BV-BFV world.

     I’m passionate about bridging different communities in mathematical physics to bring clarity to the concept of asymptotic symmetries, independent of the framework. I hope I can share some of this clarity with you in this talk.

Wenn Sie digital an den Vorträgen teilnehmen möchten, wenden Sie sich bitte an Christian Molle molle @ uni-potsdam.de, um die Zugangsdaten zu erhalten.