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Spacetime Virasoro algebra from strings on zero radius AdS3

Paul de Medeiros, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2003, Issue: 12, Pages: 043 - 043

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2003/12/043

Abstract

We study bosonic string theory in the light-cone gauge on AdS3 space- time with zero radius of curvature (in string units) R/√α′ = 0. We find that the worldsheet theory admits an infinite number of conserved quantities which are nat- urally interpreted as spacetime charges and which form a represent...

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Published in: Journal of High Energy Physics
Published: 2003
URI: https://cronfa.swan.ac.uk/Record/cronfa16144
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last_indexed 2020-07-16T18:28:36Z
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spelling 2020-07-16T14:41:36.4108823 v2 16144 2013-09-20 Spacetime Virasoro algebra from strings on zero radius AdS3 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2013-09-20 SPH We study bosonic string theory in the light-cone gauge on AdS3 space- time with zero radius of curvature (in string units) R/√α′ = 0. We find that the worldsheet theory admits an infinite number of conserved quantities which are nat- urally interpreted as spacetime charges and which form a representation of (two commuting copies of) a Virasoro algebra. Near the boundary of AdS3 these charges are found to be isomorphic to the infinite set of asymptotic Killing vectors of AdS3 found originally by Brown and Henneaux. In addition to the spacetime Virasoro algebra, there is a worldsheet Virasoro algebra that generates diffeomorphisms of the spatial coordinate of the string worldsheet. We find that if the worldsheet Vi- rasoro algebra has a central extension then the spacetime Virasoro algebra acquires a central extension via a mechanism similar to that encountered in the context of the SL(2, R) WZW model. Our observations are consistent with a recently proposed duality between bosonic strings on zero radius AdSd+1 and free field theory in d dimensions. Journal Article Journal of High Energy Physics 2003 12 043 043 31 12 2003 2003-12-31 10.1088/1126-6708/2003/12/043 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:41:36.4108823 2013-09-20T11:19:57.7094277 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Paul de Medeiros 1 Prem Kumar 0000-0003-0867-4213 2
title Spacetime Virasoro algebra from strings on zero radius AdS3
spellingShingle Spacetime Virasoro algebra from strings on zero radius AdS3
Prem Kumar
title_short Spacetime Virasoro algebra from strings on zero radius AdS3
title_full Spacetime Virasoro algebra from strings on zero radius AdS3
title_fullStr Spacetime Virasoro algebra from strings on zero radius AdS3
title_full_unstemmed Spacetime Virasoro algebra from strings on zero radius AdS3
title_sort Spacetime Virasoro algebra from strings on zero radius AdS3
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Paul de Medeiros
Prem Kumar
format Journal article
container_title Journal of High Energy Physics
container_volume 2003
container_issue 12
container_start_page 043
publishDate 2003
institution Swansea University
doi_str_mv 10.1088/1126-6708/2003/12/043
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 0
active_str 0
description We study bosonic string theory in the light-cone gauge on AdS3 space- time with zero radius of curvature (in string units) R/√α′ = 0. We find that the worldsheet theory admits an infinite number of conserved quantities which are nat- urally interpreted as spacetime charges and which form a representation of (two commuting copies of) a Virasoro algebra. Near the boundary of AdS3 these charges are found to be isomorphic to the infinite set of asymptotic Killing vectors of AdS3 found originally by Brown and Henneaux. In addition to the spacetime Virasoro algebra, there is a worldsheet Virasoro algebra that generates diffeomorphisms of the spatial coordinate of the string worldsheet. We find that if the worldsheet Vi- rasoro algebra has a central extension then the spacetime Virasoro algebra acquires a central extension via a mechanism similar to that encountered in the context of the SL(2, R) WZW model. Our observations are consistent with a recently proposed duality between bosonic strings on zero radius AdSd+1 and free field theory in d dimensions.
published_date 2003-12-31T03:18:27Z
_version_ 1763750452984283136
score 11.013686

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