Holographic One-Point Function and Geodesics in SdS₃

2026/03/22 by Arundhati Goldar, Nirmalya Kajuri, Rhitaparna Pal · 1 voice
Physics and Astronomy · #hep-th #gr-qc

paper · pdf

arxiv published 2026/03/22 · arxiv updated 2026/03/31

Abstract

Grinberg-Maldacena showed that, for AdS/CFT, the thermal one-point function of a heavy boundary operator in the dual conformal field theory encodes the complex geodesic length from the boundary insertion to the black hole singularity. We show that for an appropriate choice of bulk-boundary kernel, an analogous result holds for three-dimensional Schwarzschild-de Sitter black hole. We prove the result for the case where SdS₃ has a finite orbifold group.

Citations

• Aspects of dS/CFT Holography
• One point functions in large N vector models at finite chemical potential
• Proper time to singularity and thermal correlators
• Thermal one-point functions: CFT's with fermions, large d and large spin
• Higher Spin Realization of the dS/CFT Correspondence
• Higher spin realization of the DS/CFT correspondence
• Operator Dictionaries and Wave Functions in AdS/CFT and dS/CFT
• Non-gaussian features of primordial fluctuations in single field inflationary models
• The dS/CFT correspondence
• Quantum Gravity In De Sitter Space
• The Large N Limit of Superconformal Field Theories and Supergravity

Discussions

• New preprint, with my students Arundhati Goldar and Rhitaparna Pal! We extend Grinberg-Maldacena's result that the boundary thermal one-point function encodes the bulk geodesic distance from boundary [bsky, 3 points, 1 comments]

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