Symmetric orbifold OPE from string theory

Abstract We discuss how to obtain the symmetric orbifold fusion rule/OPE from the dual string theory. We consider two explicit examples: k b = 3 bosonic strings in AdS3 × X in the near-boundary limit and k = 1 hybrid strings in AdS3 × S3 × T 4 $$ {\mathbbm{T}}^4 $$ . The main advantage of these two...

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Main Author: Vit Sriprachyakul
Format: Article
Language:English
Published: SpringerOpen 2025-08-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP08(2025)159
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author Vit Sriprachyakul
author_facet Vit Sriprachyakul
author_sort Vit Sriprachyakul
collection DOAJ
description Abstract We discuss how to obtain the symmetric orbifold fusion rule/OPE from the dual string theory. We consider two explicit examples: k b = 3 bosonic strings in AdS3 × X in the near-boundary limit and k = 1 hybrid strings in AdS3 × S3 × T 4 $$ {\mathbbm{T}}^4 $$ . The main advantage of these two examples is that they have explicit expressions for the vertex operators in the x-basis. We show that the OPE of such vertex operators explicitly captures the longest cycle contribution in the symmetric orbifold fusion rule/OPE. We then argue how one can obtain the shorter-cycle contributions using the screening operators existing in the theories. We also discuss how our general result reduces to the earlier results in the literature.
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series Journal of High Energy Physics
spelling doaj-art-fa7c4e9bb90f45ffa746c2aad9de15332025-08-24T11:04:19ZengSpringerOpenJournal of High Energy Physics1029-84792025-08-012025812910.1007/JHEP08(2025)159Symmetric orbifold OPE from string theoryVit Sriprachyakul0Institut für Theoretische Physik, ETH ZürichAbstract We discuss how to obtain the symmetric orbifold fusion rule/OPE from the dual string theory. We consider two explicit examples: k b = 3 bosonic strings in AdS3 × X in the near-boundary limit and k = 1 hybrid strings in AdS3 × S3 × T 4 $$ {\mathbbm{T}}^4 $$ . The main advantage of these two examples is that they have explicit expressions for the vertex operators in the x-basis. We show that the OPE of such vertex operators explicitly captures the longest cycle contribution in the symmetric orbifold fusion rule/OPE. We then argue how one can obtain the shorter-cycle contributions using the screening operators existing in the theories. We also discuss how our general result reduces to the earlier results in the literature.https://doi.org/10.1007/JHEP08(2025)159AdS-CFT CorrespondenceConformal and W SymmetryConformal Field Models in String Theory
spellingShingle Vit Sriprachyakul
Symmetric orbifold OPE from string theory
Journal of High Energy Physics
AdS-CFT Correspondence
Conformal and W Symmetry
Conformal Field Models in String Theory
title Symmetric orbifold OPE from string theory
title_full Symmetric orbifold OPE from string theory
title_fullStr Symmetric orbifold OPE from string theory
title_full_unstemmed Symmetric orbifold OPE from string theory
title_short Symmetric orbifold OPE from string theory
title_sort symmetric orbifold ope from string theory
topic AdS-CFT Correspondence
Conformal and W Symmetry
Conformal Field Models in String Theory
url https://doi.org/10.1007/JHEP08(2025)159
work_keys_str_mv AT vitsriprachyakul symmetricorbifoldopefromstringtheory