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Horizons and the Thermal Harmonic Oscillator

arXiv:hep-th/0405174 · doi:10.1142/S0217732305017603

Abstract

We show that two-dimensional anti-de Sitter spacetime (AdS_2) can be put in correspondence, holographically, both with the harmonic oscillator and the free particle. When AdS_2 has an horizon the corresponding mechanical system is a thermal harmonic oscillator at temperature given by the Hawking temperature of the horizon.

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