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Holography on the quantum disk
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DOI：10.1007/JHEP06(2024)070.png)
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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\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {U}_q\left(\mathfrak{s}{\mathfrak{u}}_{1,1}\right) $$\end{document}. 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.
Keyword:
Gauge-Gravity Correspondence
Models of Quantum Gravity
Scale and Conformal Symmetries
期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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