PIRSA:22100037

Residual gauge symmetries in the front form

APA

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

MLA

Majumdar, Sucheta. Residual gauge symmetries in the front form. Perimeter Institute, Oct. 04, 2022, https://pirsa.org/22100037

BibTex

          @misc{ pirsa_22100037,
            doi = {10.48660/22100037},
            url = {https://pirsa.org/22100037},
            author = {Majumdar, Sucheta},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Residual gauge symmetries in the front form},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {oct},
            note = {PIRSA:22100037 see, \url{https://pirsa.org}}
          }
          

Sucheta Majumdar École Normale Supérieure de Lyon (ENS Lyon)

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.