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_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}} }
École Normale Supérieure de Lyon (ENS Lyon)
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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.