Algebra of operators in an AdS-Rindler wedge
Abstract We discuss the algebra of operators in AdS-Rindler wedge, particularly in AdS5/CFT4. We explicitly construct the algebra at N = ∞ limit and discuss its Type III1 nature. We will consider 1/N corrections to the theory and using a novel way of renormalizing the area of Ryu-Takayanagi surface,...
| Published in: | Journal of High Energy Physics |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-06-01
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2023)197 |
| Summary: | Abstract We discuss the algebra of operators in AdS-Rindler wedge, particularly in AdS5/CFT4. We explicitly construct the algebra at N = ∞ limit and discuss its Type III1 nature. We will consider 1/N corrections to the theory and using a novel way of renormalizing the area of Ryu-Takayanagi surface, describe how several divergences can be renormalized and the algebra becomes Type II ∞ . This will make it possible to associate a density matrix to any state in the Hilbert space and thus a von Neumann entropy. |
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| ISSN: | 1029-8479 |