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The odd twistor transform in eleven-dimensional supergravity

2012/06/01 by Movshev, M. V.
#Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1206.0057

Abstract

We define a twistor-like transform of the equations of eleven-dimensional supergravity. More precisely these equations are encoded by the CR-structure on the twistor space P2*15+11|8*2+16. In addition equations of the linearized eleven-dimensional supergravity adapted to the 3-form potential can be transformed into the tangential Cauchy-Riemann equation d omega=0 on P.

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