Anomalous dimensions in the symmetric orbifold
Abstract Recently, the anomalous conformal dimensions of the symmetric orbifold under the 2-cycle twisted sector deformation were calculated using the perturbed action of the supercharges. In particular, explicit and simple formulae for the dispersion relations of the torus magnons in the w-cycle tw...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2025)084 |
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| author | Matthias R. Gaberdiel Felix Lichtner Beat Nairz |
| author_facet | Matthias R. Gaberdiel Felix Lichtner Beat Nairz |
| author_sort | Matthias R. Gaberdiel |
| collection | DOAJ |
| description | Abstract Recently, the anomalous conformal dimensions of the symmetric orbifold under the 2-cycle twisted sector deformation were calculated using the perturbed action of the supercharges. In particular, explicit and simple formulae for the dispersion relations of the torus magnons in the w-cycle twisted sector were derived for large w. In this paper we reproduce these results from a direct perturbed 2-point function calculation. In the process we also develop techniques (and a Mathematica code) that allows one to do these calculations for arbitrary quarter BPS states at finite w. |
| format | Article |
| id | doaj-art-b1accafa447a47a2bb1b3d87603ab73a |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b1accafa447a47a2bb1b3d87603ab73a2025-08-20T03:10:27ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025512210.1007/JHEP05(2025)084Anomalous dimensions in the symmetric orbifoldMatthias R. Gaberdiel0Felix Lichtner1Beat Nairz2Institut für Theoretische Physik, ETH ZürichMax Planck Institute for Gravitational Physics (AEI)Institut für Theoretische Physik, ETH ZürichAbstract Recently, the anomalous conformal dimensions of the symmetric orbifold under the 2-cycle twisted sector deformation were calculated using the perturbed action of the supercharges. In particular, explicit and simple formulae for the dispersion relations of the torus magnons in the w-cycle twisted sector were derived for large w. In this paper we reproduce these results from a direct perturbed 2-point function calculation. In the process we also develop techniques (and a Mathematica code) that allows one to do these calculations for arbitrary quarter BPS states at finite w.https://doi.org/10.1007/JHEP05(2025)084AdS-CFT CorrespondenceConformal and W Symmetry |
| spellingShingle | Matthias R. Gaberdiel Felix Lichtner Beat Nairz Anomalous dimensions in the symmetric orbifold Journal of High Energy Physics AdS-CFT Correspondence Conformal and W Symmetry |
| title | Anomalous dimensions in the symmetric orbifold |
| title_full | Anomalous dimensions in the symmetric orbifold |
| title_fullStr | Anomalous dimensions in the symmetric orbifold |
| title_full_unstemmed | Anomalous dimensions in the symmetric orbifold |
| title_short | Anomalous dimensions in the symmetric orbifold |
| title_sort | anomalous dimensions in the symmetric orbifold |
| topic | AdS-CFT Correspondence Conformal and W Symmetry |
| url | https://doi.org/10.1007/JHEP05(2025)084 |
| work_keys_str_mv | AT matthiasrgaberdiel anomalousdimensionsinthesymmetricorbifold AT felixlichtner anomalousdimensionsinthesymmetricorbifold AT beatnairz anomalousdimensionsinthesymmetricorbifold |