Geometry of a desingularization of eleven-dimensional gravitational spinors

2011/04/30 by M. V. Movshev, Movshev, M. V. · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic Geometry (math.AG) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1105.0127

openalex publication_date 2011/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the space of gravitational spinors in eleven dimensions, defined by equations Γ_αβⁱλ^αλ^β=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).

Citations

• On Compact Complex Analytic Varieties

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