Einstein-Cartan geometry in CDT?

[Orbb]

I hope I do not ask a dumb question: Does/did ever the causal dynamical triangulation program implement torsion degrees of freedom when calculating exp(iS)? Or were the calculations performed torsion-free? I did a search but couldn't figure it out.

 

[tom.stoer]

In EC theory, torsion is non-propagating, so there are no torsion waves. Therefore torsions exists only in the world-volume where its source, namely the matter spin current is non-vanishing.

As far as I know CDT has not yet included matter degrees of freedom, therefore torsion is always zero.

 

[Orbb]

I see. Thank you!