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arXiv · 2411.17612

Anomalous dimensions in the symmetric orbifold

Matthias R. Gaberdiel·Felix Lichtner·Beat Nairz
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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 $w$.

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Matthias R. Gaberdiel, Felix Lichtner, Beat Nairz. 2026-02-05. Anomalous dimensions in the symmetric orbifold. https://arxiv.org/abs/2411.17612

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