Mathematical Physics and Algebraic Geometry Seminar

Speaker: Fabian Hahner, University of Washington

Title: From superspace to twisted supergravity

Abstract: In this talk, I will present a geometric perspective on the pure spinor superfield formalism, which proves fruitful for studying twisted supergravity. For eleven-dimensional supergravity, we use this technique to construct the full interacting theory together with all its twists in a uniform and geometric way as homotopy Poisson–Chern–Simons theories. In addition to simplifying the computation of twists immensely, this also provides fresh insights into the supergeometric origin of supergravity. Building on these ideas, we further construct local dg Lie algebras that recover conformal supergravity multiplets and their twists in terms of a geometric moduli problem on superspace.