The World-Line Quantum Mechanics Model at Finite Temperature which is Dual to the Static Patch Observer in de Sitter Space

Abstract

A simple conformal quantum mechanics model of a d-component variable is proposed, which exactly reproduces the retarded Green functions and conformal weights of conformally coupled scalar fields in de Sitter spacetime seen by a static patch observer. It is found that the action integral of this model is automatically expressed by a complex integral over the time variable t along a closed contour in a way which is typical to the Schwinger-Keldysh formalism of a thermofield theory. Hence this model is at finite temperature. The case of conformally coupled scalar fields in 3d Schwarzschild de Sitter space is also considered and then a large-N matrix model is obtained.

LaTex, 19 pages, 1 figure; The powers of \ell (cosmological length) which multiply the generators H, K corrected. (The author would like to thank Prof. R. Jackiw for pointing out the mistakes.) A footnote added. Typos corrected

References in corpus (3)

• Towards a quantum theory of de Sitter space
• Higher Spin Realization of the dS/CFT Correspondence
• Addendum to Fast Scramblers

Cited by in corpus (6)

• Conformal Blocks for the 4-Point Function in Conformal Quantum Mechanics
• Conformal quantum mechanics of causal diamonds
• Intertwining Operator in Thermal CFT${}_d$
• Superconformal Quantum Mechanics from M2-branes
• Vacuum thermal effects in flat space-time from conformal quantum mechanics
• Conformal quantum mechanics and holographic quench