Select All
PIRSA:22100037

Residual gauge symmetries in the front form

APA

Majumdar, S. (2022). Residual gauge symmetries in the front form. Perimeter Institute for Theoretical Physics. https://pirsa.org/22100037

Sucheta Majumdar École Normale Supérieure de Lyon (ENS Lyon)

Talk numberPIRSA:22100037
Source RepositoryPIRSA

Abstract

The goal of this talk is to discuss residual gauge symmetries in electromagnetism and gravity in Dirac's front form. Working in the light-cone gauge, I will demonstrate how the large gauge transformations and BMS supertranslations may be obtained from residual gauge invariance of the Hamiltonian action. The residual gauge symmetries in this (2+2) formulation share some striking similarities with the asymptotic symmetries in the conventional (3+1) Hamiltonian formulation. I will illustrate this fact using the example of electromagnetism and show how the the zero modes play a crucial role akin to boundary degrees of freedom in the asymptotic analysis at spatial infinity à la Henneaux-Troessaert.