Non-relativistic three-dimensional supergravity theories and semigroup expansion method

Concha, Patrick; Ipinza, Marcelo; Ravera, Lucrezia; Rodriguez, Evelyn

Abstract

In this work we present an alternative method to construct diverse non-relativistic Chern-Simons supergravity theories in three spacetime dimensions. To this end, we apply the Lie algebra expansion method based on semigroups to a supersymmetric extension of the Nappi-Witten algebra. Two different families of non-relativistic superalgebras are obtained, corresponding to generalizations of the extended Bargmann superalgebra and extended Newton-Hooke superalgebra, respectively. The expansion method considered here allows to obtain known and new non-relativistic supergravity models in a systematic way. In particular, it immediately provides an invariant tensor for the expanded superalgebra, which is essential to construct the corresponding Chern-Simons supergravity action. We show that the extended Bargmann supergravity and its Maxwellian generalization appear as particular subcases of a generalized extended Bargmann supergravity theory. In addition, we demonstrate that the generalized extended Bargmann and generalized extended Newton-Hooke supergravity families are related through a contraction process.

Más información

Título según WOS: Non-relativistic three-dimensional supergravity theories and semigroup expansion method
Título de la Revista: JOURNAL OF HIGH ENERGY PHYSICS
Número: 2
Editorial: Springer
Fecha de publicación: 2021
DOI:

10.1007/JHEP02(2021)094

Notas: ISI