English

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

High Energy Physics - Theory 2026-05-07 v2

Abstract

By calculating the second order pole in the operator product expansion (OPE) of the charged spin-33 current with the neutral spin-33 current in the Grassmannian-like coset model, we determine the primary charged spin-44 current. Similarly, by computing the second order pole in the OPE of the neutral spin-33 current with itself, we obtain the primary neutral spin-44 current. We determine the OPE of the charged spin-22 current with the charged spin-33 current for generic parameters and the large kk (one of the parameters) limit is also obtained for this OPE. In particular, the above primary charged spin-44 current appears in the first order pole of this OPE for generic parameters. We also check that the above primary charged and neutral spin-44 currents occur at the second order pole in the OPE of the charged spin-33 current with itself for fixed parameters.

Keywords

Cite

@article{arxiv.2505.12708,
  title  = {A Charged and Neutral Spin-$4$ Currents in the Grassmannian-like Coset Model},
  author = {Changhyun Ahn and Minsu Kang},
  journal= {arXiv preprint arXiv:2505.12708},
  year   = {2026}
}

Comments

99 pages; The section 1 and other various places in the whole draft are improved and to appear in IJMPA