Self-dual variables, positive-semidefinite action, and discrete transformations in four-dimensional quantum gravity
- Center for Gravitational Physics and Geometry, Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802-6300 (United States)
A positive-semidefinite Euclidean action for arbitrary four-topologies can be constructed by adding appropriate Yang-Mills and topological terms to the Samuel-Jacobson-Smolin action of gravity with (anti-)self-dual variables. Moreover, on shell, the (anti-)self-dual sector of the new theory corresponds precisely to all Einstein manifolds in four dimensions. The Lorentzian signature action and its analytic continuations are also considered. A self-contained discussion is given on the effects of discrete transformations {ital C}, {ital P}, and {ital T} on the Samuel-Jacobson-Smolin action, and other proposed actions which utilize self- or anti-self-dual variables as fundamental variables in the description of four-dimensional gravity.
- OSTI ID:
- 115970
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 6 Vol. 52; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Self-dual solutions to Euclidean gravity
Self-duality in D{le}8-dimensional Euclidean gravity