Gravitational anomalies with torsion in four dimensions

Details Gravitational anomalies with torsion in four dimensions Gravitational anomalies with torsion in four dimensions

Feb 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cqgra..18..433k&link_type=abstract

Classical and Quantum Gravity, Volume 18, Issue 3, pp. 433-440 (2001).

Physics

1

Scientific paper

We evaluate two covariant gravitational anomalies, i.e. Einstein and Lorentz anomalies, on chiral gauge theories in four-dimensional curved space with torsion, so-called Riemann-Cartan space. It is shown that the `pure' Einstein anomaly Gν and the `pure' Lorentz anomaly Gµν satisfy the relation ν = -2Gν, where the covariant differential operator ɛαβγδFµνCγδα,β and its derivative, in the tensorial form of the gravitational anomalies.

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