The vertex operator algebras (VOAs) appearing in the 4d SCFT/VOA correspondence possess many interesting properties, often of a rather geometric flavor. As shown in work of Ardehali, Beem, Lemos, and Rastelli (arXiv:2507.23781), unitarity of the underlying SCFT has an imprint on this VOA, leading the notion of graded unitarity. After reviewing their construction, I will describe several consequences in the context of gauge theories, where the resulting semi-infinite complexes bear a striking resemblance to the de Rham complex of a compact Kähler manifolds. This talk is based on arXiv:2509.10364 with C. Beem.