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Universal correction to higher spin entanglement entropy
Physical Review D, Volume: 90, Issue: 4
Swansea University Author:
Prem Kumar
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DOI (Published version): 10.1103/PhysRevD.90.041903
Abstract
We consider conformal field theories in two spacetime dimensions with W-algebra symmetries, deformed by a chemical potential μ for the spin-three current. We show that the order μ2 correction to the R ́enyi and entanglement entropies of a single interval in the deformed theory, on the infinite spati...
Published in: | Physical Review D |
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2014
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URI: | https://cronfa.swan.ac.uk/Record/cronfa18050 |
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2020-07-16T14:29:46.9797616 v2 18050 2014-06-20 Universal correction to higher spin entanglement entropy 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2014-06-20 SPH We consider conformal field theories in two spacetime dimensions with W-algebra symmetries, deformed by a chemical potential μ for the spin-three current. We show that the order μ2 correction to the R ́enyi and entanglement entropies of a single interval in the deformed theory, on the infinite spatial line and at finite temperature, is universal. The correction is completely determined by the operator product expansion of two spin-three currents, and by the expectation values of the stress tensor, its descendants and its composites, evaluated on the n-sheeted Riemann surface branched along the interval. This explains the recently found agreement of the order μ2 correction across distinct free field CFTs and higher spin black hole solutions holographically dual to CFTs with W-symmetry. Journal Article Physical Review D 90 4 8 8 2014 2014-08-08 10.1103/PhysRevD.90.041903 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:29:46.9797616 2014-06-20T09:22:11.7585854 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Shouvik Datta 1 Justin R. David 2 Michael Ferlaino 3 Prem Kumar 0000-0003-0867-4213 4 0018050-02032015064949.pdf 1405.0015.pdf 2015-03-02T06:49:49.0600000 Output 145961 application/pdf Version of Record true 2014-07-02T00:00:00.0000000 true |
title |
Universal correction to higher spin entanglement entropy |
spellingShingle |
Universal correction to higher spin entanglement entropy Prem Kumar |
title_short |
Universal correction to higher spin entanglement entropy |
title_full |
Universal correction to higher spin entanglement entropy |
title_fullStr |
Universal correction to higher spin entanglement entropy |
title_full_unstemmed |
Universal correction to higher spin entanglement entropy |
title_sort |
Universal correction to higher spin entanglement entropy |
author_id_str_mv |
087fd097167d724ce1b13cb285741ef5 |
author_id_fullname_str_mv |
087fd097167d724ce1b13cb285741ef5_***_Prem Kumar |
author |
Prem Kumar |
author2 |
Shouvik Datta Justin R. David Michael Ferlaino Prem Kumar |
format |
Journal article |
container_title |
Physical Review D |
container_volume |
90 |
container_issue |
4 |
publishDate |
2014 |
institution |
Swansea University |
doi_str_mv |
10.1103/PhysRevD.90.041903 |
college_str |
Faculty of Science and Engineering |
hierarchytype |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics |
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description |
We consider conformal field theories in two spacetime dimensions with W-algebra symmetries, deformed by a chemical potential μ for the spin-three current. We show that the order μ2 correction to the R ́enyi and entanglement entropies of a single interval in the deformed theory, on the infinite spatial line and at finite temperature, is universal. The correction is completely determined by the operator product expansion of two spin-three currents, and by the expectation values of the stress tensor, its descendants and its composites, evaluated on the n-sheeted Riemann surface branched along the interval. This explains the recently found agreement of the order μ2 correction across distinct free field CFTs and higher spin black hole solutions holographically dual to CFTs with W-symmetry. |
published_date |
2014-08-08T03:21:03Z |
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1763750616719425536 |
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11.021648 |