Self-Dual Conformal Supergravity and the Hamiltonian Formulation
General Relativity and Quantum Cosmology
2015-06-25 v1
Abstract
In terms of Dirac matrices the self-dual and anti-self-dual decomposition of a conformal supergravity is given and a self-dual conformal supergravity theory is developed as a connection dynamic theory in which the basic dynamic variabes include the self-dual spin connection i.e. the Ashtekar connection rather than the triad. The Hamiltonian formulation and the constraints are obtained by using the Dirac-Bergmann algorithm. PACS numbers: 04.20.Cv, 04.20.Fy,04.65.+e
Cite
@article{arxiv.gr-qc/0005046,
title = {Self-Dual Conformal Supergravity and the Hamiltonian Formulation},
author = {Guoying Chee and Yanhua Jia},
journal= {arXiv preprint arXiv:gr-qc/0005046},
year = {2015}
}