Self-Dual Conformal Supergravity and the Hamiltonian Formulation

Details Self-Dual Conformal Supergravity and the Hamiltonian Formulation Self-Dual Conformal Supergravity and the Hamiltonian Formulation

2000-05-13

arxiv.org/abs/gr-qc/0005046v1

Gen.Rel.Grav. 33 (2001) 1953-1972

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

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

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