Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-08-08
Class.Quant.Grav.26:045009,2009
Physics
High Energy Physics
High Energy Physics - Theory
25 pages; v2: minor improvements, references added
Scientific paper
10.1088/0264-9381/26/4/045009
We study self-duality in the context of the 3+1-split formalism of gravity with non-zero cosmological constant. Lorentzian self-dual configurations are conformally flat spacetimes and have boundary data determined by classical solutions of the three-dimensional gravitational Chern-Simons. For Euclidean self-dual configurations, the relationship between their boundary initial positions and initial velocity is also determined by the three-dimensional gravitational Chern-Simons. Our results imply that bulk self-dual configurations are holographically described by the gravitational Chern-Simons theory which can either viewed as a boundary generating functional or as a boundary effective action.
Mansi Diego S.
Petkou Anastasios C.
Tagliabue Giovanni
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