Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-05-16
Class.Quant.Grav. 22 (2005) 3789-3802
Physics
High Energy Physics
High Energy Physics - Theory
15 pages (incl. 1 fig)
Scientific paper
We discuss the quantization of a scalar field in three-dimensional asymptotic de Sitter space. We obtain explicit expressions for the Noether currents generating the isometry group in terms of the modes of the scalar field and the Liouville gravitational field. We extend the SL(2,C) algebra of the Noether charges to a full Virasoro algebra by introducing non-local conserved charges. The Virasoro algebra has the expected central charge in the weak coupling limit (large central charge c=3l/2G, where l is the dS radius and G is Newton's constant). We derive the action of the Virasoro charges on states in the boundary CFT thus elucidating the dS/CFT correspondence.
Ness Scott
Siopsis George
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