PIRSA:22100037 Conference Quantum Gravity

DOI10.48660/22100037

Conference/School: Quantum Gravity Around the Corner

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

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

@misc{ pirsa_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}}
}

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.

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