Ten-dimensional super-twistors and super-Yang-Mills
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Publication:367775
DOI10.1007/JHEP04(2010)067zbMATH Open1272.83076arXiv0910.1684OpenAlexW2029581043MaRDI QIDQ367775
Author name not available (Why is that?)
Publication date: 16 September 2013
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/0910.1684
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