Artículo
Asymptotic symmetries and dynamics of three-dimensional flat supergravity
Fecha
2014-08Registro en:
Journal of High Energy Physics. Volume 2014, Issue 8. August 2014. Article number 71
1126-6708
10.1007/JHEP08(2014)071
Autor
Barnich, Glenn
Donnay, Laura
Matulich, Javier
Troncoso, Ricardo
Institución
Resumen
A consistent set of asymptotic conditions for the simplest supergravity theory
without cosmological constant in three dimensions is proposed. The canonical generators
associated to the asymptotic symmetries are shown to span a supersymmetric extension of
the BMS3 algebra with an appropriate central charge. The energy is manifestly bounded
from below with the ground state given by the null orbifold or Minkowski spacetime for
periodic, respectively antiperiodic boundary conditions on the gravitino. These results
are related to the corresponding ones in AdS3 supergravity by a suitable flat limit. The
analysis is generalized to the case of minimal flat supergravity with additional parity odd
terms for which the Poisson algebra of canonical generators form a representation of the
super-BMS3 algebra with an additional central charge.