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arXiv · 2504.17159

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

Victor G. Kac·Minoru Wakimoto
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Abstract

We prove that the span of normalized characters of subprincipal admissible modules over an affine Lie algebra of subprincipal admissible level $k$ is $SL_2(\mathbf{Z})$-invariant and find the explicit modular transformation formula.

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BibTeXRIS

Victor G. Kac, Minoru Wakimoto. 2025-04-24. Modular Invariance of Characters for Affine Lie Algebras at Subprincipal Admissible Levels. https://arxiv.org/abs/2504.17159

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