Next Article in Journal / Special Issue
Partition Function of the Schwarzschild Black Hole
Previous Article in Journal
Calculating the Prior Probability Distribution for a Causal Network Using Maximum Entropy: Alternative Approaches
Previous Article in Special Issue
Is Gravity an Entropic Force?
Article Menu

Export Article

Open AccessArticle
Entropy 2011, 13(7), 1305-1323;

State Operator Correspondence and Entanglement in AdS2/CFT1

Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211019, India
Received: 13 June 2011 / Accepted: 22 June 2011 / Published: 19 July 2011
(This article belongs to the Special Issue Black Hole Thermodynamics)
Full-Text   |   PDF [155 KB, uploaded 24 February 2015]


Since Euclidean global AdS2 space represented as a strip has two boundaries, the state-operator correspondence in the dual CFT1 reduces to the standard map from the operators acting on a single copy of the Hilbert space to states in the tensor product of two copies of the Hilbert space. Using this picture we argue that the corresponding states in the dual string theory living on AdS2 × K are described by the twisted version of the Hartle–Hawking states, the twists being generated by a large unitary group of symmetries that this string theory must possess. This formalism makes natural the dual interpretation of the black hole entropy—as the logarithm of the degeneracy of ground states of the quantum mechanics describing the low energy dynamics of the black hole, and also as an entanglement entropy between the two copies of the same quantum theory living on the two boundaries of global AdS2 separated by the event horizon. View Full-Text
Keywords: black hole; statistical entropy; entanglement entropy black hole; statistical entropy; entanglement entropy
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Share & Cite This Article

MDPI and ACS Style

Sen, A. State Operator Correspondence and Entanglement in AdS2/CFT1. Entropy 2011, 13, 1305-1323.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top