Wheeler-DeWitt equation and Bondi-Metzner-Sachs (BMS) symmetry
Marc Henneaux
TL;DR
This paper explores the Hamiltonian formulation of BMS symmetry on spacelike hypersurfaces and constructs BRST-invariant extensions of BMS generators to act on Wheeler-DeWitt states, advancing the understanding of quantum gravity symmetries.
Contribution
It introduces a BRST reformulation of BMS symmetry, providing operator expressions for BMS actions on Wheeler-DeWitt solutions and extending the BMS algebra in a BRST-invariant manner.
Findings
Constructed BRST-invariant BMS generators.
Defined BMS action on Wheeler-DeWitt states.
Extended BMS algebra with BRST symmetry.
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.
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