Pure spinor techniques in (twisted) supergravity

Abstract: The pure spinor superfield formalism gives a systematic and geometric technique to construct supersymmetric field theories from algebro-geometric input data. Crucially, this procedure provides superfield descriptions where the actions of the supersymmetries are strict and ompatible with twisting. In this talk, I will demonstrate the merits of the formalism using the example of eleven-dimensional supergravity. In particular, I present a uniform construction of the interacting theory and all its twists realizing them as generalizations of Poisson–Chern–Simons theory. In addition to simplifying the computation of twists immensely, this also sheds some new light on the supergeometric origin of the supergravity theory. The talk is based on joint work with Ingmar Saberi.

mathematical physicsalgebraic topologycategory theoryquantum algebra

Audience: researchers in the topic

Topological Quantum Field Theory Club (IST, Lisbon)

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