Research Outputs
On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
In this work we obtain known and new supersymmetric extensions of diverse asymptotic symmetries defined in three spacetime dimensions by considering the semigroup expansion method. The super-BMS3, the superconformal algebra and new infinite-dimensional superalgebras are obtained by expanding the super-Virasoro algebra. The new superalgebras obtained are supersymmetric extensions of the asymptotic algebras of the Maxwell and the so(2, 2)⊕ so(2, 1) gravity theories. We extend our results to the N = 2 and N = 4 cases and find that R-symmetry generators are required. We also show that the new infinite-dimensional structures are related through a flat limit → ∞.
Three-dimensional Poincaré supergravity and N-extended supersymmetric BMS3 algebra
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.