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Micromanaging de Sitter holography

Xi Dong, Bart Horn, Eva Silverstein, Gonzalo Torroba

TL;DR

This work presents a concrete string-theoretic route to metastable de Sitter vacua with semi-holographic duals by uplifting AdS/CFT brane setups through elliptic fibrations and orientifolds. The construction yields a compact dS geometry with two warped throats, where gravity in d-1 dimensions couples to two large-N matter sectors, enabling a microscopic interpretation of Gibbons-Hawking entropy. It provides an explicit dS3 example based on the D1-D5 system, detailing brane content, stabilization mechanics, and backreaction considerations, and discusses extensions toward dS4. The framework offers a controlled laboratory for exploring de Sitter holography, entropy counting, and decay channels in a semi-holographic setting with a clear brane-engineering backbone.

Abstract

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.

Micromanaging de Sitter holography

TL;DR

This work presents a concrete string-theoretic route to metastable de Sitter vacua with semi-holographic duals by uplifting AdS/CFT brane setups through elliptic fibrations and orientifolds. The construction yields a compact dS geometry with two warped throats, where gravity in d-1 dimensions couples to two large-N matter sectors, enabling a microscopic interpretation of Gibbons-Hawking entropy. It provides an explicit dS3 example based on the D1-D5 system, detailing brane content, stabilization mechanics, and backreaction considerations, and discusses extensions toward dS4. The framework offers a controlled laboratory for exploring de Sitter holography, entropy counting, and decay channels in a semi-holographic setting with a clear brane-engineering backbone.

Abstract

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.

Paper Structure

This paper contains 20 sections, 76 equations, 1 figure.

Table of Contents

  1. Introduction
  2. dS holography and microscopy
  3. General techniques
  4. The strategy for stabilization
  5. Stabilization procedure
  6. Effects from localized sources
  7. $dS_3$ worked example
  8. Brane construction
  9. Stabilization mechanism
  10. Numerical example
  11. Higher order corrections
  12. $D7$-$\overline{D7}$ stability analysis
  13. Stabilizing other moduli
  14. Axions
  15. Moduli of the elliptic fibration and NS5-branes
  16. ...and 5 more sections

Figures (1)

  • Figure 1: de Sitter brane constructions are compact as a result of the net positive potential energy carried by the flavor branes, curvature, and orientifolds. The two tips with color branes or antibranes correspond to the two warped throats of $dS_d$ in the $dS_{d-1}$ slicing.