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Title: Monstrous entanglement

Abstract

The Monster CFT plays an important role in moonshine and is also conjectured to be the holographic dual to pure gravity in AdS3. We investigate the entanglement and Rényi entropies of this theory along with other extremal CFTs. The Rényi entropies of a single interval on the torus are evaluated using the short interval expansion. Each order in the expansion contains closed form expressions in the modular parameter. The leading terms in the q-series are shown to precisely agree with the universal corrections to Rényi entropies at low temperatures. Furthermore, these results are shown to match with bulk computations of Rényi entropy using the one-loop partition function on handlebodies. We also explore some features of Rényi entropies of two intervals on the plane.

Authors:
 [1];  [2];  [1]
  1. Univ. of California San Diego, La Jolla, CA (United States). Dept. of Physics
  2. Eidgenossische Technische Hochschule (ETH) Zurich, Zurich (Switzerland). Institut fur Theoretische Physik
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1504755
Grant/Contract Number:  
SC0009919
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal Field Theory; AdS-CFT Correspondence; Field Theories in Lower Dimensions; Discrete Symmetries

Citation Formats

Das, Diptarka, Datta, Shouvik, and Pal, Sridip. Monstrous entanglement. United States: N. p., 2017. Web. doi:10.1007/jhep10(2017)147.
Das, Diptarka, Datta, Shouvik, & Pal, Sridip. Monstrous entanglement. United States. doi:10.1007/jhep10(2017)147.
Das, Diptarka, Datta, Shouvik, and Pal, Sridip. Fri . "Monstrous entanglement". United States. doi:10.1007/jhep10(2017)147. https://www.osti.gov/servlets/purl/1504755.
@article{osti_1504755,
title = {Monstrous entanglement},
author = {Das, Diptarka and Datta, Shouvik and Pal, Sridip},
abstractNote = {The Monster CFT plays an important role in moonshine and is also conjectured to be the holographic dual to pure gravity in AdS3. We investigate the entanglement and Rényi entropies of this theory along with other extremal CFTs. The Rényi entropies of a single interval on the torus are evaluated using the short interval expansion. Each order in the expansion contains closed form expressions in the modular parameter. The leading terms in the q-series are shown to precisely agree with the universal corrections to Rényi entropies at low temperatures. Furthermore, these results are shown to match with bulk computations of Rényi entropy using the one-loop partition function on handlebodies. We also explore some features of Rényi entropies of two intervals on the plane.},
doi = {10.1007/jhep10(2017)147},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2017,
place = {United States},
year = {2017},
month = {10}
}

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