On torsional observables in topological 4D gravity

Details On torsional observables in topological 4D gravity On torsional observables in topological 4D gravity

May 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007cqgra..24.2445a&link_type=abstract

Classical and Quantum Gravity, Volume 24, Issue 10, pp. 2445-2451 (2007).

Mathematics

Logic

1

Scientific paper

We construct, in topological 4D gravity with torsion, a set of observables involving the topological invariant given by integrating the Nieh Yan (NY) 4-form. The method relies as usual on the determination of a hierarchy of generalized descent equations based on the BRST algebra. The latter is derived by using a superconnection for a SO(5) gauge group. This and its associated supercurvature lead to the fields occurring in the quantized theory by exploiting an appropriate embedding of SO(4) into SO(5).

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