We study self-duality in the context of the 3+1-split formalism of gravity with a 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 be viewed as a boundary generating functional or as a boundary effective action.

Gravity in the 3+1-split formalism : II. Self-duality and the emergence of the gravitational Chern–Simons in the boundary / D.S. Mansi, A.C. Petkou, G. Tagliabue. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 26:4(2009 Jan 30).

Gravity in the 3+1-split formalism : II. Self-duality and the emergence of the gravitational Chern–Simons in the boundary

G. Tagliabue
Ultimo
2009-01-30

Abstract

We study self-duality in the context of the 3+1-split formalism of gravity with a 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 be viewed as a boundary generating functional or as a boundary effective action.
QUANTUM-GRAVITY ; GAUGE-THEORY ; INSTANTON
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/64037
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