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The θ-twistor versus the supertwistor

2006/12/02 by Zheltukhin, A. A.
#FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.math-ph/0612008

Abstract

We introduce the θ-twistor which is a new supersymmetric generalization of the Penrose twistor and is also alternative to the supertwistor. The θ-twistor is a triple of \it spinors including the spinor θ extending the Penrose's double of spinors. Using the θ-twistors yields an infinite chain of massless higher spin chiral supermultiplets (1/2,1), (1, 3/2), (3/2,2),...,(S, S+1/2) generalizing the known scalar (0,1/2) supermultiplet

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