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Three-dimensional Poincaré supergravity and N-extended supersymmetric BMS3 algebra
Caroca Lisboa, Ricardo
Concha Aguilera, Patrick
Physics Letters B
2019
A new approach for obtaining the three-dimensional Chern-Simons supergravity for the Poincaré algebra is presented. The -extended Poincaré supergravity is obtained by expanding the super Lorentz theory. We extend our procedure to their respective asymptotic symmetries and show that the super-BMS3 appear as expansions of one Virasoro superalgebra. Interestingly, the -extended super-BMS3 obtained here are not only centrally extended but also endowed with internal symmetry. We also show that the -extended super Poincaré algebras with both central and automorphism generators are finite subalgebras.
Chern-simons theories
General-relativity
Gravitational waves
Central charges
Lie
Superalgebras
Expansions
Term
Ciencias físicas