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 N-extended Poincaré supergravity is obtained by expanding the super Lorentz theory. We extend our procedure to their respective asymptotic symmetries and show that the N=(1,2,4) su...

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Bibliographic Details
Main Authors: Ricardo Caroca, Patrick Concha, Octavio Fierro, Evelyn Rodríguez
Format: Article
Language:English
Published: Elsevier 2019-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319301984
Description
Summary:A new approach for obtaining the three-dimensional Chern-Simons supergravity for the Poincaré algebra is presented. The N-extended Poincaré supergravity is obtained by expanding the super Lorentz theory. We extend our procedure to their respective asymptotic symmetries and show that the N=(1,2,4) super-BMS3 appear as expansions of one Virasoro superalgebra. Interestingly, the N-extended super-BMS3 obtained here are not only centrally extended but also endowed with internal symmetry. We also show that the N-extended super Poincaré algebras with both central and automorphism generators are finite subalgebras.
ISSN:0370-2693