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Modular Invariance of Characters for Affine Lie Algebras at Subprincipal Admissible Levels (2504.17159v1)
Published 24 Apr 2025 in math.RT
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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