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.
|Titolo:||Gravity in the 3+1-split formalism : II. Self-duality and the emergence of the gravitational Chern–Simons in the boundary|
TAGLIABUE, GIOVANNI (Ultimo)
|Parole Chiave:||QUANTUM-GRAVITY ; GAUGE-THEORY ; INSTANTON|
|Data di pubblicazione:||30-gen-2009|
|Digital Object Identifier (DOI):||10.1088/0264-9381/26/4/045009|
|Appare nelle tipologie:||01 - Articolo su periodico|