TY - JOUR
T1 - Holography on the quantum disk
AU - Almheiri, Ahmed
AU - Popov, Fedor K.
N1 - Publisher Copyright:
© The Author(s) 2024.
PY - 2024/6
Y1 - 2024/6
N2 - 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.
AB - 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.
KW - Gauge-Gravity Correspondence
KW - Models of Quantum Gravity
KW - Scale and Conformal Symmetries
UR - http://www.scopus.com/inward/record.url?scp=85196202703&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85196202703&partnerID=8YFLogxK
U2 - 10.1007/JHEP06(2024)070
DO - 10.1007/JHEP06(2024)070
M3 - Article
AN - SCOPUS:85196202703
SN - 1126-6708
VL - 2024
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 6
M1 - 70
ER -