Fetching the paper…

Reading the bibliography…

2022

Algebra of operators in an AdS-Rindler wedge

Bahiru, Eyoab

Original
PDF
Post on X

Understand

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.

Algebra of operators in an AdS-Rindler wedge · Around

Built on

E. Verlinde and K. M. Zurek, Spacetime Fluctuations in AdS/CFT
Original
1911
Earlier work this paper cites.
J. von Neumann, On rings of operators. iii
1940
Earlier work this paper cites.
J. von Neumann, On rings of operators. reduction theory
1949
Earlier work this paper cites.
M. Henningson and K. Skenderis, The Holographic Weyl anomaly
1998
Earlier work this paper cites.
V. Balasubramanian and P. Kraus, A Stress tensor for Anti-de Sitter gravity
1999
Earlier work this paper cites.

Similar

A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Local bulk operators in AdS/CFT: A Boundary view of horizons and locality
2006
Cited alongside, same era.
A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Holographic representation of local bulk operators
2006
Cited alongside, same era.
G. Festuccia and H. Liu, The Arrow of time, black holes, and quantum mixing of large N Yang-Mills theories
2007
Cited alongside, same era.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, A Covariant holographic entanglement entropy proposal
Original
2007
Cited alongside, same era.
S. Leutheusser and H. Liu, Emergent times in holographic duality
Original
Cited in the paper.
S. Leutheusser and H. Liu, Causal connectability between quantum systems and the black hole interior in holographic duality
Original
Cited in the paper.
T. Banks, M. R. Douglas, G. T. Horowitz, and E. J. Martinec, AdS dynamics from conformal field theory
Cited in the paper.
D. Harlow and D. Stanford, Operator Dictionaries and Wave Functions in AdS/CFT and dS/CFT
Original
Cited in the paper.

Then

K. Krasnov and J.-M. Schlenker, On the renormalized volume of hyperbolic 3-manifolds
2008
Later among the works it cites.
A. Almheiri, X. Dong, and D. Harlow, Bulk Locality and Quantum Error Correction in AdS/CFT
Original
2015
Later among the works it cites.
E. Witten, Gravity and the crossed product
Original
2022
Closest in time.
V. Chandrasekaran, R. Longo, G. Penington, and E. Witten, An algebra of observables for de Sitter space
Original
2023
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…