Three-Dimensional de Sitter Holography and Bulk Correlators at Late Time

Area of Science:

• Theoretical Physics
• Quantum Gravity
• String Theory

Background:

• Holography relates gravitational theories to quantum field theories.
• Higher-spin gravity in anti-de Sitter space has known holographic duals.
• De Sitter space is crucial for understanding cosmic acceleration.

Purpose of the Study:

• To develop a calculable holographic model for three-dimensional de Sitter space.
• To provide a prescription for analytically continuing higher-spin holography.
• To compute bulk correlation functions in de Sitter space.

Main Methods:

• Analytic continuation of higher-spin holography from anti-de Sitter to de Sitter space.
• Explicit computation of bulk correlation functions in the de Sitter holographic framework.
• Comparison with results from bulk Feynman diagrams.

Main Results:

• An explicitly calculable example of holography on three-dimensional de Sitter space is established.
• Late-time bulk correlation functions in higher-spin gravity on de Sitter space are explicitly computed.
• The computed expressions align with existing analyses using bulk Feynman diagrams.

Conclusions:

• Holographic computations on de Sitter space can yield significant information.
• The analytic continuation method provides a powerful tool for studying de Sitter holography.
• This work offers a concrete framework for exploring higher-spin gravity in de Sitter spacetimes.