https://doi.org/10.1140/epjc/s10052-021-09554-2
Regular Article -Theoretical Physics
Three-dimensional teleparallel Chern-Simons supergravity theory
1
Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, 2850, Alonso de Ribera, Concepción, Chile
2
Facultad de Ciencias, Universidad Arturo Prat, Iquique, Chile
3
Departamento de Física, Universidad del Bío-Bío, Avenida Collao 1202, Casilla 5-C, Concepción, Chile
Received:
14
May
2021
Accepted:
15
August
2021
Published online:
23
August
2021
In this work we present a gauge-invariant three-dimensional teleparallel supergravity theory using the Chern-Simons formalism. The present construction is based on a supersymmetric extension of a particular deformation of the Poincaré algebra. At the bosonic level the theory describes a non-Riemannian geometry with a non-vanishing torsion. In presence of supersymmetry, the teleparallel supergravity theory is characterized by a non-vanishing super-torsion in which the cosmological constant can be seen as a source for the torsion. We show that the teleparallel supergravity theory presented here reproduces the Poincaré supergravity in the vanishing cosmological limit. The extension of our results to 
supersymmetries is also explored.
© The Author(s) 2021
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