A note about teleparallel supergravity

The supersymmetric extension of teleparallel gravity is discussed. It is found that teleparallel supergravity is equivalent to the usual supergravity when the vierbein, the gravitino field and the connection are not identified with the component of the gauge potential, but are obtained taking the limit \(m \to 0\) in (81), (83) and (84) of P. Salgado, S. del Campo, M. Cataldo, Phys. Rev. D 68, 024021 (2003). It is also shown that the successful formalism of Grignani-Nardelli permits one to obtain teleparallel-supergravity in (2 + 1) dimensions from (3 + 1)-dimensional teleparallel supergravity.