Gravity in the 3+1-Split Formalism II: Self-Duality and the Emergence of the Gravitational Chern-Simons in the Boundary

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dc.creatorMansi, Diego S.
dc.creatorPetkou, Anastasios C.
dc.creatorTagliabue, Giovanni
dc.date2008-08-08
dc.date2008-11-28
dc.date.accessioned2026-07-07T12:38:44Z
dc.date.available2026-07-07T12:38:44Z
dc.descriptionWe 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.
dc.description25 pages; v2: minor improvements, references added
dc.identifierhttps://arxiv.org/abs/0808.1213
dc.identifierhttp://arxiv.org/abs/0808.1213
dc.identifierClass.Quant.Grav.26:045009,2009
dc.identifierdoi:10.1088/0264-9381/26/4/045009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218861
dc.subjectHigh Energy Physics - Theory
dc.titleGravity in the 3+1-Split Formalism II: Self-Duality and the Emergence of the Gravitational Chern-Simons in the Boundary
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