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Phys. Rev. D 44, 3835–3842 (1991)

Topological four-dimensional self-dual gravity

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Akika Nakamichi* and Akio Sugamoto
Department of Physics, Ochanomizu University, Otsuka, Bunkyo-ku, Tokyo 112, Japan

Ichiro Oda†
Institute for Nuclear Study, University of Tokyo, Midori-cho, Tanashi-shi, Tokyo 188, Japan

Received 2 January 1991; revised 17 July 1991; published in the issue dated 15 December 1991

A theory of topological gravity with an independent vierbein and spin connection is formulated in four space-time dimensions. Topological symmetries, as well as local Lorentz transformations and diffeomorphisms, are fixed, following the formalism of Batalin and Vilkovisky. The gauge-fixing conditions of the topological symmetries are chosen in such a way that self-duality is preserved for both curvature and torsion two-forms. It is shown that these gauge-fixing conditions have nontrivial classical solutions. Nontrivial observables are also constructed.

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.44.3835
DOI:
10.1103/PhysRevD.44.3835
PACS:

*Present address: Department of Physics, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo 152, Japan.

†Present address: Department of Physics, Ochanomizu University, Otsuka, Bunkyo-ku, Tokyo 112, Japan.

 
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