Gravitation as a Super SL(2,C) Gauge Theory

Details Gravitation as a Super SL(2,C) Gauge Theory Gravitation as a Super SL(2,C) Gauge Theory

2001-01-09

arxiv.org/abs/gr-qc/0101034v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, Proceedings of the 9th Marcel Grossmann Meeting, Rome, 2-8 July, 2000

Scientific paper

We present a gauge theory of the super SL(2,C) group. 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 metric is naturally defined.

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