3 papers
hep-th2026
Towards a classification of graded unitary algebras
Christopher Beem, Harshal Kulkarni
We study constraints imposed by four-dimensional unitarity (formalised as graded unitarity in recent work by the first author) on possible vertex algebras arising…
math.QA2025
On the semi-infinite cohomology of graded-unitary vertex algebras
Christopher Beem, Niklas Garner
Recently, the first author with A. Ardehali, M. Lemos, and L. Rastelli introduced the notion of graded unitarity for vertex algebras. This generalization of unitarity is motivated…
hep-th2025
Graded Unitarity in the SCFT/VOA Correspondence
Arash Arabi Ardehali, Christopher Beem, Madalena Lemos +1
Vertex algebras that arise from four-dimensional, superconformal field theories inherit a collection of novel structural properties from their four-dimensional ance…