Topological four-dimensional self-dual gravity

Details Topological four-dimensional self-dual gravity Topological four-dimensional self-dual gravity

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvd..44.3835n&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 44, Issue 12, 15 December 1991, pp.3835-3842

Mathematics

Logic

22

Scientific paper

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.

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