Holography on the quantum disk

Ahmed Almheiri, Fedor K. Popov

Research output: Contribution to journalArticlepeer-review


Motivated by recent study of DSSYK and the non-commutative nature of its bulk dual, we review and analyze an example of a non-commutative spacetime known as the quantum disk proposed by L. Vaksman. The quantum disk is defined as the space whose isometries are generated by the quantum algebra Uqsu1,1. We review how this algebra is defined and its associated group SUq(1, 1) that it generates, highlighting its non-trivial coproduct that sources bulk non-commutativity. We analyze the structure of holography on the quantum disk and study the imprint of non-commutativity on the putative boundary dual.

Original languageEnglish (US)
Article number70
JournalJournal of High Energy Physics
Issue number6
StatePublished - Jun 2024


  • Gauge-Gravity Correspondence
  • Models of Quantum Gravity
  • Scale and Conformal Symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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