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

Q: What type of study is this?

This is a Quantitative Study study.

Victor G. Kač; Minoru Wakimoto

doi:10.48550/arxiv.2504.17159

April 23, 2025Open Access

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

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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.

Implication

The span of normalized characters shows SL2-invariance in affine lie algebra modules, suggesting a new transformation formula.

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. (2025) studied this question.

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

View Full Paper

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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