Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference19 articles.
1. S. Leutheusser and H. Liu, Emergent times in holographic duality, arXiv:2112.12156 [INSPIRE].
2. S. Leutheusser and H. Liu, Causal connectability between quantum systems and the black hole interior in holographic duality, arXiv:2110.05497 [INSPIRE].
3. E. Witten, Gravity and the crossed product, JHEP 10 (2022) 008 [arXiv:2112.12828] [INSPIRE].
4. V. Chandrasekaran, R. Longo, G. Penington and E. Witten, An algebra of observables for de Sitter space, JHEP 02 (2023) 082 [arXiv:2206.10780] [INSPIRE].
5. A. Hamilton, D.N. Kabat, G. Lifschytz and D.A. Lowe, Local bulk operators in AdS/CFT: A boundary view of horizons and locality, Phys. Rev. D 73 (2006) 086003 [hep-th/0506118] [INSPIRE].
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