Gravitation as a Supersymmetric Gauge Theory

Details Gravitation as a Supersymmetric Gauge Theory Gravitation as a Supersymmetric Gauge Theory

1999-04-05

arxiv.org/abs/gr-qc/9904008v3

Phys.Lett. A264 (2000) 341-345

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, accepted for publication in Physics Letters A

Scientific paper

10.1016/S0375-9601(99)00845-2

We propose a gauge theory of gravitation. The gauge potential is a connection of the Super SL(2,C) group. A MacDowell-Mansouri type of action is proposed where the action is quadratic in the Super SL(2,C) curvature and depends purely on gauge connection. By breaking the symmetry of the Super SL(2,C) topological gauge theory to SL(2,C), a spinor metric is naturally defined. With an auxiliary anti-commuting spinor field, the theory is reduced to general relativity. The Hamiltonian variables are related to the ones given by Ashtekar. The auxiliary spinor field plays the role of Witten spinor in the positive energy proof for gravitation.

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