This is an overview of the method of pure spinor superfields, written for Handbook of
Quantum Gravity, eds. C. Bambi, L. Modesto, and I. Shapiro. The main focus is on the use of …

We construct a generalization of Poisson-Chern-Simons theory, defined on any
supermanifold equipped with an appropriate filtration of the tangent bundle. Our construction …

This thesis discusses the pure spinor superfield formalism and its applications, specifically in
the context of twisted eleven-dimensional supergravity. We start by developing the pure …