Abstract
Four-dimensional super-twistors provide a compact covariant description of on-shell \( \mathcal{N}{ = 4} \) d=4 super-Yang-Mills. In this paper, ten-dimensional super-twistors are introduced which similarly provide a compact covariant description of on-shell d=10 super-Yang-Mills. The super-twistor variables are Z = (λα, μα, Γm) where λα and μα are constrained bosonic d=10 spinors and Γm is a constrained fermionic d=10 vector. The Penrose map relates the twistor superfield Φ(Z) with the d=10 super-Yang-Mills vertex operator λα A α(x, θ) which appears in the pure spinor formalism of the superstring, and the cubic super-Yang-Mills amplitude is proportional to the super-twistor integral ∫ dZ Φ1Φ2Φ3.
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ArXiv ePrint: 0910.1684
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Berkovits, N. Ten-dimensional super-twistors and Super-Yang-Mills. J. High Energ. Phys. 2010, 67 (2010). https://doi.org/10.1007/JHEP04(2010)067
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DOI: https://doi.org/10.1007/JHEP04(2010)067