Comments on integrability in the symmetric orbifold
Abstract We present a map between the excitation of the symmetric-product orbifold CFT of T 4, and of the worldsheet-integrability description of AdS 3 × S 3 × T 4 of Lloyd, Ohlsson Sax, Sfondrini, and Stefański at k = 1. We discuss the map in the absence of RR fluxes, when the theory is free, and a...
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| Language: | English |
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2024-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2024)179 |
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| author | Sergey Frolov Alessandro Sfondrini |
| author_facet | Sergey Frolov Alessandro Sfondrini |
| author_sort | Sergey Frolov |
| collection | DOAJ |
| description | Abstract We present a map between the excitation of the symmetric-product orbifold CFT of T 4, and of the worldsheet-integrability description of AdS 3 × S 3 × T 4 of Lloyd, Ohlsson Sax, Sfondrini, and Stefański at k = 1. We discuss the map in the absence of RR fluxes, when the theory is free, and at small RR flux, h ≪ 1, where the symmetric-orbifold CFT is deformed by a marginal operator from the twist-two sector. We discuss the recent results of Gaberdiel, Gopakumar, and Nairz, who computed from the perturbed symmetric-product orbifold the central extension to the symmetry algebra of the theory and its coproduct. We show that it coincides with the h ≪ 1 expansion of the lightcone symmetry algebra known from worldsheet integrability, and that hence the S matrix found by Gaberdiel, Gopakumar, and Nairz maps to the one bootstrapped by the worldsheet integrability approach. |
| format | Article |
| id | doaj-art-813ce10e42144fbfad147e22341fff56 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-813ce10e42144fbfad147e22341fff562024-11-24T12:05:12ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024813910.1007/JHEP08(2024)179Comments on integrability in the symmetric orbifoldSergey Frolov0Alessandro Sfondrini1School of Mathematics and Hamilton Mathematics InstituteDipartimento di Fisica e Astronomia, Università degli Studi di PadovaAbstract We present a map between the excitation of the symmetric-product orbifold CFT of T 4, and of the worldsheet-integrability description of AdS 3 × S 3 × T 4 of Lloyd, Ohlsson Sax, Sfondrini, and Stefański at k = 1. We discuss the map in the absence of RR fluxes, when the theory is free, and at small RR flux, h ≪ 1, where the symmetric-orbifold CFT is deformed by a marginal operator from the twist-two sector. We discuss the recent results of Gaberdiel, Gopakumar, and Nairz, who computed from the perturbed symmetric-product orbifold the central extension to the symmetry algebra of the theory and its coproduct. We show that it coincides with the h ≪ 1 expansion of the lightcone symmetry algebra known from worldsheet integrability, and that hence the S matrix found by Gaberdiel, Gopakumar, and Nairz maps to the one bootstrapped by the worldsheet integrability approach.https://doi.org/10.1007/JHEP08(2024)179AdS-CFT CorrespondenceConformal Field Models in String TheoryIntegrable Field Theories |
| spellingShingle | Sergey Frolov Alessandro Sfondrini Comments on integrability in the symmetric orbifold Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Models in String Theory Integrable Field Theories |
| title | Comments on integrability in the symmetric orbifold |
| title_full | Comments on integrability in the symmetric orbifold |
| title_fullStr | Comments on integrability in the symmetric orbifold |
| title_full_unstemmed | Comments on integrability in the symmetric orbifold |
| title_short | Comments on integrability in the symmetric orbifold |
| title_sort | comments on integrability in the symmetric orbifold |
| topic | AdS-CFT Correspondence Conformal Field Models in String Theory Integrable Field Theories |
| url | https://doi.org/10.1007/JHEP08(2024)179 |
| work_keys_str_mv | AT sergeyfrolov commentsonintegrabilityinthesymmetricorbifold AT alessandrosfondrini commentsonintegrabilityinthesymmetricorbifold |