Topological four-dimensional self-dual gravity

Journal Article · Sun Dec 15 04:00:00 EST 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.3835· OSTI ID:6091912

Nakamichi, A; Sugamoto, A ^[1]; Oda, I ^[2]

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1. Department of Physics, Ochanomizu University, Otsuka, Bunkyo-ku, Tokyo 112 (Japan)
2. Institute for Nuclear Study, University of Tokyo, Midori-cho, Tanashi-shi, Tokyo 188 (Japan)

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.

• OSTI ID: 6091912
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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