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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Online Access: | https://doi.org/10.1007/JHEP08(2021)123 |
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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 |
work_keys_str_mv |
AT suchetandas virasoroalgebraskinematicspaceandthespectrumofmodularhamiltoniansincft2 AT bobbyezhuthachan virasoroalgebraskinematicspaceandthespectrumofmodularhamiltoniansincft2 AT somnathporey virasoroalgebraskinematicspaceandthespectrumofmodularhamiltoniansincft2 AT baishaliroy virasoroalgebraskinematicspaceandthespectrumofmodularhamiltoniansincft2 |
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1721186465701953536 |