Nodal degeneration of chiral algebras II: Local structure and chiral Zhu algebras (opens in new tab)

Given a vertex algebra $V$, Zhu constructed an associative algebra $A(V)$, whose representation theory provides an approximation to the category of $V$-modules. We describe a geometric construction of a certain derived associative algebra $\mathfrak{Z}_{\mathcal{A}}^0$ associated to any universal factorization algebra $\mathcal{A}$, whose zeroth homology recovers Zhu's associative algebra in the case where $\mathcal{A}$ is obtained from a vertex...