English

Hidden $SL_2(\mathbb{Z})$-symmetry in $BC_l^{(2)}$

Representation Theory 2025-02-06 v1 Mathematical Physics math.MP

Abstract

A well-known Γθ\Gamma_\theta-action on the characters of integrable highest weight modules over the affine Lie algebra of type BCl(2)BC_l^{(2)} at a positive level is extended to an SL2(Z)\mathrm{SL}_2(\mathbb{Z})-action at a positive even level by supplementing their twisted characters.

Keywords

Cite

@article{arxiv.2502.03316,
  title  = {Hidden $SL_2(\mathbb{Z})$-symmetry in $BC_l^{(2)}$},
  author = {K. Iohara and Y. Saito},
  journal= {arXiv preprint arXiv:2502.03316},
  year   = {2025}
}