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October 19, 2025Open Access

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

Key Points

The span of normalized characters for subprincipal admissible modules is invariant under SL2 transformations.
We find an explicit formula for modular transformations involving characters of affine lie algebras.
The study focuses on modules at subprincipal admissible levels, showing significant algebraic implications.
Results enhance understanding of the structure and symmetry of characters in affine lie algebras.

Abstract

We prove that the span of normalized characters of subprincipal admissible modules over an affine Lie algebra of subprincipal admissible level k is SL₂ (Z) -invariant and find the explicit modular transformation formula.

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Cite This Study

Kač et al. (Wed,) studied this question.

synapsesocial.com/papers/68f43f92854d1061a58acae2 https://doi.org/https://doi.org/10.48550/arxiv.2504.17159

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