Ten-Dimensional Super-Twistors and Super-Yang-Mills

Details Ten-Dimensional Super-Twistors and Super-Yang-Mills Ten-Dimensional Super-Twistors and Super-Yang-Mills

2009-10-09

arxiv.org/abs/0910.1684v2

Physics

High Energy Physics

High Energy Physics - Theory

14 pages harvmac, added short clarification

Scientific paper

Four-dimensional super-twistors provide a compact covariant description of on-shell 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=(lambda^alpha, mu_alpha, Gamma^m) where lambda^alpha and mu_alpha are constrained bosonic d=10 spinors and Gamma^m is a constrained fermionic d=10 vector. The Penrose map relates the twistor superfield Phi(Z) with the d=10 super-Yang-Mills vertex operator lambda^alpha A_alpha(x,theta) which appears in the pure spinor formalism of the superstring, and the cubic super-Yang-Mills amplitude is proportional to the super-twistor integral \int dZ Phi_1 Phi_2 Phi_3.

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