Embedding vs. 6D twistors

Abstract

We review the relation between the "embedding" formalism and spinorial projective space. The latter is more convenient when treating spin (and indispensable for supersymmetry), as it maintains manifest conformal symmetry while using 4-dimensional indices on fields/operators. It does this by solving all algebraic constraints using 6-dimensional (off-shell) twistors. In an added note we review the supersymmetric generalization, and give some new results for N=3.

7 pages; v2: mostly added a section about supersymmetry

References in corpus (6)

• Projectors, Shadows, and Conformal Blocks
• Nilpotent invariants in N=4 SYM
• Superembedding methods for 4d N=1 SCFTs
• Green-Schwarz Formulation of Self-Dual Superstring
• Super Multi-Instantons in Conformal Chiral Superspace
• AdS/CFT in superspace

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• Superembedding methods for 4d N-extended SCFTs
• Supertwistor formulation for massless superparticle in $Ad{S}_5\times S^5$ superspace
• Multitwistor mechanics of massless superparticle on $Ad{S}_5\times S^5$ superbackground
• Oscillator approach to quantization of $Ad{S}_5\times S^5$ superparticle in twistor formulation
• Deconstructing Conformal Blocks in 4D CFT