Faonte, Hennion, and Kapranov classified higher-dimensional Kac–Moody central extensions using the Jouanolou model for the derived global sections of punctured affine space. In this talk, we use this model to study higher-dimensional chiral algebras. Using higher chiral operations, we construct a distinguished Virasoro central extension in higher dimensions. This is based on joint work with Minghao Wang and Brian Williams, as well as ongoing work with Brian Williams.