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We analyze the periodic motion in the conformal mechanics describing the particles moving near the horizon of extreme Reissner-Nordstr\"om and axion-dilaton (Cl\'ement-Gal'tsov) black holes.
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I. Bredberg, C. Keeler, V. Lysov, A. Strominger, Cargese lectures on the Kerr/CFT correspondence
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C. Gonera, “Note on Superintegrability of TTW model,”
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