On mode transition algebras for $\mathbb{Z}$-graded vertex algebras and applications to bosonic ghosts

Katrina Barron, Justine Fasquel, Florencia Orosz Hunziker +1

We study the mode transition algebras and Zhu algebras in the setting of $\mathbb{Z}$-graded vertex algebras, with particular focus on the Weyl vertex algebra at central charge 2 (…