Bondi-Metzner-Sachs algebra as an extension of the Poincaré symmetry in light-cone gravity
Journal article, 2021

We analyze possible local extensions of the Poincaré symmetry in light-cone gravity in four dimensions. We use a formalism where we represent the algebra on the two physical degrees of freedom, one with helicity 2 and the other with helicity −2. The representation is non-linearly realized and one of the light-cone momenta is the Hamiltonian, which is hence a non-linear generator of the algebra. We find that this can be locally realized and the Poincaré algebra extended to the BMS symmetry without any reference to asymptotic limits.

Classical Theories of Gravity

Space-Time Symmetries

Gauge Symmetry

Author

S. Ananth

Indian Institute of Science

Lars Brink

Chalmers, Physics

S. Majumdar

Université libre de Bruxelles (ULB)

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Vol. 2021 7 129

Subject Categories

Algebra and Logic

Geometry

Mathematical Analysis

DOI

10.1007/JHEP07(2021)129

More information

Latest update

8/9/2024 9