Horizons and the Thermal Harmonic Oscillator

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1142/S0217732305017603

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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