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Bibliographic Details
Main Authors: Ahn, Changhyun, Kang, Minsu
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2505.12708
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Table of Contents:
  • By calculating the second order pole in the operator product expansion (OPE) of the charged spin-$3$ current with the neutral spin-$3$ current in the Grassmannian-like coset model, we determine the primary charged spin-$4$ current. Similarly, by computing the second order pole in the OPE of the neutral spin-$3$ current with itself, we obtain the primary neutral spin-$4$ current. We determine the OPE of the charged spin-$2$ current with the charged spin-$3$ current for generic parameters and the large $k$ (one of the parameters) limit is also obtained for this OPE. In particular, the above primary charged spin-$4$ current appears in the first order pole of this OPE for generic parameters. We also check that the above primary charged and neutral spin-$4$ currents occur at the second order pole in the OPE of the charged spin-$3$ current with itself for fixed parameters.