Dwelling on de Sitter

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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RevTeX 4, 8 pages, v3: Small clarifications on sections III and IV and references added/corrected, v4: typos

Scientific paper

10.1103/PhysRevD.66.124011

A careful reduction of the three-dimensional gravity to the Liouville description is performed, where all gauge fixing and on-shell conditions come from the definition of asymptotic de Sitter spaces. The roles of both past and future infinities are discussed and the conditions space-time evolution imposes on both Liouville fields are explicited. Space-times which correspond to non-equivalent profiles of the Liouville field at past and future infinities are shown to exist. The qualitative implications of this for any tentative dual theory are presented.

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