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arXiv · 2505.12708

A Charged and Neutral Spin-$4$ Currents in the Grassmannian-like Coset Model

Changhyun Ahn·Minsu Kang
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Abstract

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.

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Changhyun Ahn, Minsu Kang. 2025-05-19. A Charged and Neutral Spin-$4$ Currents in the Grassmannian-like Coset Model. https://doi.org/10.1142/s0217751x26500922

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