Chiral supergravity and anomalies

Details Chiral supergravity and anomalies Chiral supergravity and anomalies

1999-02-24

arxiv.org/abs/gr-qc/9902077v1

Annalen Phys. 8 (1999) 301-317

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Plain Latex 25 pages, no figures. to appear in Annalen der Physik (Leipzig) 1999

Scientific paper

10.1002/(SICI)1521-3889(199904)8

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.

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