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Gravitation as a supersymmetric gauge theory

✍ Scribed by Roh S. Tung

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
62 KB
Volume
264
Category
Article
ISSN
0375-9601

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✦ Synopsis

We propose a gauge theory of gravitation. The gauge potential is a connection of the Super SL 2,C group. A Ž .

MacDowell-Mansouri type of action is proposed where the action is quadratic in the Super SL 2,C curvature and depends Ž . Ž . 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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