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

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