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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Bibliographic Details
Published in:Journal of High Energy Physics
Main Authors: Matthias R. Gaberdiel, Felix Lichtner, Beat Nairz
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Subjects:
AdS-CFT Correspondence
Conformal and W Symmetry
Online Access:https://doi.org/10.1007/JHEP05(2025)084
Description
Summary: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.
ISSN:1029-8479

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