activity
19942025
most citedQuantum Reduction for Affine Superalgebras

236 citations · 410 across the 37 of their papers we have counts for

collaborators

37 papers

math.RT2025

A note on modular properties of non-principal and non-coprincipal admissible -modules of integer level

Minoru Wakimoto

For the affine Lie algebra 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 is -invariant a…

math.RT2024

On modular invariance of quantum affine -algebras

Victor G. Kac, Minoru Wakimoto

We find modular transformations of normalized characters for the following -algebras: (a) , where , or , , , and…

math.RT2024

Vanishing of the quantum reduction of the Deligne exceptional series representations of negative integer level

Minoru Wakimoto

In this paper we show that, for the Deligne exceptional series representations of negative integer level of affine Lie algebras, the quantum Hamiltonian reduction vanishes except f…

math.RT2024

On the characters of a certain series of N=4 superconformal modules II

Minoru Wakimoto

In this paper we compute the characters of certain non-irreducible N=4 superconformal modules which are different from the ones treated in our previous paper, and study their relat…

math.NT2023

Mock theta functions and indefinite modular forms III

Minoru Wakimoto

In this paper, we study modular transformation properties of a certain class of functions with indefinite quadratic forms.