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arXiv · 2208.04258

Algebra of operators in an AdS-Rindler wedge

Eyoab Bahiru
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Abstract

We discuss the algebra of operators in AdS-Rinlder wedge, particularly in AdS$_{5}$/CFT$_{4}$. We explicitly construct the algebra at $N=\infty$ limit and discuss its Type III$_{1}$ 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$_{\infty}$. 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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Eyoab Bahiru. 2022-08-08. Algebra of operators in an AdS-Rindler wedge. https://doi.org/10.1007/jhep06(2023)197

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