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arXiv · 1401.6442

Linear automorphisms of vertex operator algebras associated with formal changes of variable and Bernoulli-type numbers

Robert McRae
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Abstract

We study a certain linear automorphism of a vertex operator algebra induced by the formal change of variable $f(x)=e^x-1$ and describe examples showing how this relates the theory of vertex operator algebras to Bernoulli numbers, Bernoulli polynomial values, and related numbers. We give a recursion for such numbers derived using vertex operator relations, and study the Jacobi identity for modified vertex operators that was introduced in work of Lepowsky.

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Robert McRae. 2014-07-07. Linear automorphisms of vertex operator algebras associated with formal changes of variable and Bernoulli-type numbers. https://arxiv.org/abs/1401.6442

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