Linear automorphisms of vertex operator algebras associated with formal changes of variable and Bernoulli-type numbers
arXiv:1401.6442
Abstract
We study a certain linear automorphism of a vertex operator algebra induced by the formal change of variable 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.
14 pages, references added