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
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Geometry for Higher Spin Gravity: Conformal Structures, PDEs, and Q-manifolds (Thematic Programme)
Organizer(s):
Xavier Bekaert (U Tours)
Andreas Cap (U of Vienna)
Stefan Fredenhagen (U of Vienna)
Maxim Grigoriev (U of Mons)
Alexei Kotov (U Hradec Králové)