Chiral supergravity and anomalies
General Relativity and Quantum Cosmology
2017-09-27 v1
Abstract
Similarily as in the Ashtekar approach, the translational Chern-Simons term is, as a generating function, instrumental for a chiral reformulation of simple (N=1) supergravity. After applying the algebraic Cartan relation between spin and torsion, the resulting canonical transformation induces not only decomposition of the gravitational fields into selfdual and antiselfdual modes, but also a splitting of the Rarita-Schwinger fields into their chiral parts in a natural way. In some detail, we also analyze the consequences for axial and chiral anomalies.
Cite
@article{arxiv.gr-qc/9902077,
title = {Chiral supergravity and anomalies},
author = {Eckehard W. Mielke and Alfredo Macias},
journal= {arXiv preprint arXiv:gr-qc/9902077},
year = {2017}
}
Comments
Plain Latex 25 pages, no figures. to appear in Annalen der Physik (Leipzig) 1999