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  4. Three-dimensional teleparallel Chern-Simons supergravity theory
 
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Three-dimensional teleparallel Chern-Simons supergravity theory
Dr. Concha-Aguilera, Patrick 
Facultad de Ingeniería 
Dra. Rodríguez-Durán, Evelyn 
Caroca-Lisboa, Ricardo
Facultad de Ingeniería 
Peñafiel, Diego
10.1140/epjc/s10052-021-09554-2
Springer Nature
2021
In this work we present a gauge-invariant threedimensional teleparallel supergravity theory using the ChernSimons 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 N = p + q supersymmetries is also explored.
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