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| Main Authors: | , |
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| Format: | Preprint |
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2023
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| Online Access: | https://arxiv.org/abs/2312.14114 |
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| _version_ | 1866929434045448192 |
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| author | Frolov, Sergey Sfondrini, Alessandro |
| author_facet | Frolov, Sergey Sfondrini, Alessandro |
| contents | We present a map between the excitation of the symmetric-product orbifold CFT of $T^4$, and of the worldsheet-integrability description of $AdS_3\times S^3\times T^4$ 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, $h\ll 1$, 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 $h\ll 1$ 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14114 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Comments on Integrability in the Symmetric Orbifold Frolov, Sergey Sfondrini, Alessandro High Energy Physics - Theory We present a map between the excitation of the symmetric-product orbifold CFT of $T^4$, and of the worldsheet-integrability description of $AdS_3\times S^3\times T^4$ 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, $h\ll 1$, 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 $h\ll 1$ 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. |
| title | Comments on Integrability in the Symmetric Orbifold |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.14114 |