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<p>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 <i>w</i>-cycle twisted sector were derived for large <i>w</i>. 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 <i>w</i>.</p>

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Anomalous dimensions in the symmetric orbifold

  • 期刊论文

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  • 发表日期：

    2025年5月9日

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  • Matthias R. Gaberdiel,
  • Felix Lichtner,
  • Beat Nairz

摘要

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.