What is the Superpotential Tensor in Teleparallel Gravity?

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what is the meaning of superpotential tensor in teleparallel gravity ? it defined as :


Equations in teleparallel gravity: superpotential S with indices rho mu nu equals minus S with rho nu mu, given by contortion K minus g times torsion T plus g times T; then K with indices nu rho mu equals one half of T terms; then T with indices nu rho mu equals Gamma minus Gamma, labelled torsion tensor.
 
Looking at

http://cds.cern.ch/record/478192/files/0011079.pdf

it seems that the divergence of this superpotential yields the conserved current due to the Bianchi identities. The divergence of this superpotential is then automatically zero.

You should check "Gravity and Strings" by Ortin, section 2.2 for some extra comments on this superpotential :)

So in the context of GR I would say that gct-invariance implies conservation of the energy momentum tensor, and this energy momentum tensor can be written as the divergence of the superpotential due to the Bianchi identities.