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Micromanaging de Sitter holography. (English) Zbl 1206.83140

Summary: We develop tools to engineer de Sitter vacua with semi-holographic duals, using elliptic fibrations and orientifolds to uplift Freund-Rubin compactifications with CFT duals. The dual brane construction is compact and constitutes a microscopic realization of the dS/dS correspondence, realizing \(d\)-dimensional de Sitter space as a warped compactification down to \((d - 1)\)-dimensional de Sitter gravity coupled to a pair of large-N matter sectors. This provides a parametric microscopic interpretation of the Gibbons-Hawking entropy. We illustrate these ideas with an explicit class of examples in three dimensions, and describe ongoing work on four-dimensional constructions.

MSC:

83E30 String and superstring theories in gravitational theory
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics