Orientifolded Locally AdS3 Geometries

Abstract

Continuing the analysis of [arXiv:1003.4089[hep-th]], we classify all locally AdS3 stationary axi-symmetric unorientable solutions to AdS3 Einstein gravity and show that they are obtained by applying certain orientifold projection on AdS3, BTZ or AdS3 self-dual orbifold, respectively O-AdS3, O-BTZ and O-SDO geometries. Depending on the orientifold fixed surface, the O-surface, which is either a space-like 2D plane or cylinder, or a light-like 2D plane or cylinder one can distinguish four distinct cases. For the space-like orientifold plane or cylinder cases these geometries solve AdS3 Einstein equations and are hence locally AdS3 everywhere except at the O-surface, where there is a delta-function source. For the light-like cases the geometry is a solution to Einstein equations even at the O-surface. We discuss the causal structure for static, extremal and general rotating O-BTZ and O-SDO cases as well as the geodesic motion on these geometries. We also discuss orientifolding Poincare patch AdS3 and AdS2 geometries as a way to geodesic completion of these spaces and comment on the 2D CFT dual to the O-geometries.

26 page, 4 .eps figures

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Cited by in corpus (8)

• Bending branes for DCFT in two dimensions
• On 3d Bulk Geometry of Virasoro Coadjoint Orbits: Orbit invariant charges and Virasoro hair on locally AdS3 geometries
• On Quantization of AdS3 Gravity I: Semi-Classical Analysis
• Holography of the BTZ Black Hole, Inside and Out
• Gravity/CFT correspondence for three dimensional Einstein gravity with a conformal scalar field
• Soldering freedom and BMS-like transformations
• O-BTZ: Orientifolded BTZ Black Hole
• Topological 4D gravity and gravitational defects