Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.05575 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909707069816832 |
|---|---|
| author | Almheiri, Ahmed Popov, Fedor K. |
| author_facet | Almheiri, Ahmed Popov, Fedor K. |
| contents | 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 $U_q(\mathfrak{su}_{1,1})$. We review how this algebra is defined and its associated group $SU_q(1,1)$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05575 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Holography on the Quantum Disk Almheiri, Ahmed Popov, Fedor K. High Energy Physics - Theory 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 $U_q(\mathfrak{su}_{1,1})$. We review how this algebra is defined and its associated group $SU_q(1,1)$ 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. |
| title | Holography on the Quantum Disk |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.05575 |