Dwelling on de Sitter

Abstract

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.

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

References in corpus (2)

• Strings in Time-Dependent Orbifolds
• Unbounded entropy in spacetimes with positive cosmological constant

Cited by in corpus (2)

• On the Boundary Dynamics of Chern-Simons Gravity
• Comments on Quantum Aspects of Three-Dimensional de Sitter Gravity