Geometry of a desingularization of eleven-dimensional gravitational spinors

Details Geometry of a desingularization of eleven-dimensional gravitational spinors Geometry of a desingularization of eleven-dimensional gravitational spinors

2011-04-30

arxiv.org/abs/1105.0127v3

Physics

High Energy Physics

High Energy Physics - Theory

A brief outline of the proof of the main proposition added

Scientific paper

We show that the space of gravitational spinors in eleven dimensions, defined by equations $\Gamma_{\alpha\beta}^i\lambda^{\alpha}\lambda^{\beta}=0$ admits a desingularization with nice geometric properties. In particular the desingularization fibers over the isotropic Grassmannian OGr(2,11). This enables us to recast equations of linearized eleven-dimensional supergravity adapted to 3-form potential into Cauchy-Riemann equations on a super extension of isotropic Grassmannian OGr(2,11).

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