The Arithmetic Geometry of AdS₂ and its Continuum Limit

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Authors: Axenides, Minos, Floratos, Emmanuel, Nicolis, Stam
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211184
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Arithmetic Geometry of AdS₂ and its Continuum Limit. Minos Axenides, Emmanuel Floratos and Stam Nicolis. SIGMA 17 (2021), 004, 22 pages

According to the 't Hooft-Susskind holography, the black hole entropy, 𝑆BH, 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(𝑆BH). In previous work, we have proposed that the near-horiz...