The Extension Of Chiral Gravity To SL(2, C)

Dolan, Brian P. (1989) The Extension Of Chiral Gravity To SL(2, C). (Preprint)

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Abstract

The canonical transformation of the phase space of general relativity introduced by Ashtekar is extended from an su(2) gauge field to sl(2, C). The momenta conjugate to the chiral spin connection become complex, holomorphic variables. It is shown how the symplectic structure of Ashtekar’s variables is preserved under Lorentz boosts.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:17
Last Modified: 23 Jul 2018 10:31
URI: http://dair.dias.ie/id/eprint/793

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