Three-dimensional teleparallel Chern-Simons supergravity theory

Ricardo Caroca

doi:10.1140/epjc/s10052-021-09554-2

Three-dimensional teleparallel Chern-Simons supergravity theory

2021-08-23

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DOI：10.1140/epjc/s10052-021-09554-2

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In this work we present a gauge-invariant threedimensional teleparallel supergravity theory using theChernSimons formalism. The present construction is based on a supersymmetric extension of a particular deformation of the Poincare 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 Poincare supergravity in the vanishing cosmological limit. The extension of our results to N = p + q supersymmetries is also explored.

Keywords:

BLACK-HOLE ENTROPY

DIMENSIONAL GRAVITY

3D GRAVITY

TORSION

FORMULATION

PARTICLES

FIELD

Three-dimensional teleparallel Chern-Simons supergravity theory

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