Lecture 3: Normal form of nilpotent vector field near the tip of the pure spinor cone

Andrei Mikhailov (IFT UNESP, Sao Paolo)

Sep 03. 2021, 14:00 — 15:00

Pure spinor formalism implies that supergravity equations in space-time are equivalent to the requirement that the worldsheet sigma-model satisfies certain properties. One of these properties has a particularly transparent geometrical interpretation: there exists an odd nilpotent vector field on some singular supermanifold, naturally associated to space-time. The normal form is parametrized by some tensor fields, which satisfy hyperbolic equations. These equations are similar to the full supergravity equations, but slightly weaker.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Geometry for Higher Spin Gravity: Conformal Structures, PDEs, and Q-manifolds (Thematic Programme)
Xavier Bekaert (U Tours)
Andreas Cap (U of Vienna)
Stefan Fredenhagen (U of Vienna)
Maxim Grigoriev (Lebedev Inst. & Lomonosov Moscow SU)
Alexei Kotov (U Hradec Králové)