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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…