English

Wheeler-DeWitt equation and Bondi-Metzner-Sachs (BMS) symmetry

High Energy Physics - Theory 2025-06-04 v1 General Relativity and Quantum Cosmology

Abstract

The Hamiltonian formulation of the BMS symmetry on spacelike hypersurfaces enables one to define its action on solutions of the Wheeler-DeWitt equation. Using the BRST reformulation of the theory, we provide operator expressions for the matrix elements of the BMS operators between Wheeler-DeWitt states. To that end, we construct the BRST-invariant extensions of the BMS generators, which form a BRST-extension of the BMS algebra.

Keywords

Cite

@article{arxiv.2506.02240,
  title  = {Wheeler-DeWitt equation and Bondi-Metzner-Sachs (BMS) symmetry},
  author = {Marc Henneaux},
  journal= {arXiv preprint arXiv:2506.02240},
  year   = {2025}
}