M. Wakimoto

collaborators

3 papers

math.RT2025

A note on modular properties of non-principal and non-coprincipal admissible $C_{2}^{(1)}$ -modules of integer level

Minoru Wakimoto

For the affine Lie algebra $C_{2}^{(1)}$ we study non-principal and non-coprincipal admissible modules of integer level and their quantum Hamiltonian reduction, and show that they ha…

math.RT2025

Modular Invariance of Characters for Affine Lie Algebras at Subprincipal Admissible Levels

Victor G. Kac, Minoru Wakimoto

We prove that the span of normalized characters of subprincipal admissible modules over an affine Lie algebra of subprincipal admissible level $k$ is $S L_{2} (Z)$ -invariant a…

math.RT2025

On modular invariance of quantum affine $W$ -algebras

Victor G. Kac, Minoru Wakimoto

We find modular transformations of normalized characters for the following $W$ -algebras: (a) $W_{k}^{min} (g)$ , where $g = D_{n} (n \geq 4)$ , or $E_{6}$ , $E_{7}$ , $E_{8}$ , and…

A note on modular properties of non-principal and non-coprincipal admissible C2(1)​-modules of integer level

Modular Invariance of Characters for Affine Lie Algebras at Subprincipal Admissible Levels

On modular invariance of quantum affine W-algebras

A note on modular properties of non-principal and non-coprincipal admissible $C_{2}^{(1)}$ -modules of integer level

On modular invariance of quantum affine $W$ -algebras