Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT2

Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT2

Abstract We construct an infinite class of eigenmodes with integer eigenvalues for the Vacuum Modular Hamiltonian of a single interval N in 2d CFT and study some of its interesting properties, which includes its action on OPE blocks as well as its bulk duals. Our analysis suggests that these eigenmo...

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Main Authors: Suchetan Das, Bobby Ezhuthachan, Somnath Porey, Baishali Roy
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:Journal of High Energy Physics
Subjects:
AdS-CFT Correspondence
Conformal Field Theory
Field Theories in Lower Dimensions
Online Access:https://doi.org/10.1007/JHEP08(2021)123
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spelling doaj-7e246fb1fbbb4bdd9455adbacdb8d3b62021-08-29T11:44:53ZengSpringerOpenJournal of High Energy Physics1029-84792021-08-012021812610.1007/JHEP08(2021)123Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT2Suchetan Das0Bobby Ezhuthachan1Somnath Porey2Baishali Roy3Department of Physics, Indian Institute of Technology KanpurRamakrishna Mission Vivekananda Educational and Research InstituteRamakrishna Mission Vivekananda Educational and Research InstituteRamakrishna Mission Vivekananda Educational and Research InstituteAbstract We construct an infinite class of eigenmodes with integer eigenvalues for the Vacuum Modular Hamiltonian of a single interval N in 2d CFT and study some of its interesting properties, which includes its action on OPE blocks as well as its bulk duals. Our analysis suggests that these eigenmodes, like the OPE blocks have a natural description on the so called kinematic space of CFT2 and in particular realize the Virasoro algebra of the theory on this kinematic space. Taken together, our results hints at the possibility of an effective description of the CFT2 in the kinematic space language.https://doi.org/10.1007/JHEP08(2021)123AdS-CFT CorrespondenceConformal Field TheoryField Theories in Lower Dimensions
collection DOAJ
language English
format Article
sources DOAJ
author Suchetan Das
Bobby Ezhuthachan
Somnath Porey
Baishali Roy
spellingShingle Suchetan Das
Bobby Ezhuthachan
Somnath Porey
Baishali Roy
Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT2
Journal of High Energy Physics
AdS-CFT Correspondence
Conformal Field Theory
Field Theories in Lower Dimensions
author_facet Suchetan Das
Bobby Ezhuthachan
Somnath Porey
Baishali Roy
author_sort Suchetan Das
title Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT2
title_short Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT2
title_full Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT2
title_fullStr Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT2
title_full_unstemmed Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT2
title_sort virasoro algebras, kinematic space and the spectrum of modular hamiltonians in cft2
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-08-01
description Abstract We construct an infinite class of eigenmodes with integer eigenvalues for the Vacuum Modular Hamiltonian of a single interval N in 2d CFT and study some of its interesting properties, which includes its action on OPE blocks as well as its bulk duals. Our analysis suggests that these eigenmodes, like the OPE blocks have a natural description on the so called kinematic space of CFT2 and in particular realize the Virasoro algebra of the theory on this kinematic space. Taken together, our results hints at the possibility of an effective description of the CFT2 in the kinematic space language.
topic AdS-CFT Correspondence
Conformal Field Theory
Field Theories in Lower Dimensions
url https://doi.org/10.1007/JHEP08(2021)123
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AT somnathporey virasoroalgebraskinematicspaceandthespectrumofmodularhamiltoniansincft2
AT baishaliroy virasoroalgebraskinematicspaceandthespectrumofmodularhamiltoniansincft2
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