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The Arithmetic Geometry of AdS<sub>2</sub> and its Continuum Limit

The Arithmetic Geometry of AdS<sub>2</sub> and its Continuum Limit

According to the 't Hooft-Susskind holography, the black hole entropy,$S_\mathrm{BH}$, is carried by the chaotic microscopic degrees of freedom, which live in the near horizon region and have a Hilbert space of states of finite dimension $d=\exp(S_\mathrm{BH})$. In previous work we have proposed that the near horizon geometry, when the …