https://doi.org/10.1140/epjc/s10052-019-7595-5
Regular Article - Theoretical Physics
On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
1
Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Alonso de Ribera 2850, Concepción, Chile
2
Departamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Viña del Mar, Chile
* e-mail: patrick.concha@ucsc.cl
** e-mail: evelyn.rodriguez@edu.uai.cl
Received:
28
August
2019
Accepted:
26
December
2019
Published online:
11
January
2020
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-
, 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 
gravity theories. We extend our results to the 
and 
cases and find that R-symmetry generators are required. We also show that the new infinite-dimensional structures are related through a flat limit 
.
© The Author(s), 2020
