Spinor helicity formalism in ten dimensions

• Grant number: 18/16785-0
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: March 15, 2019
• End date: September 14, 2019
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Nathan Jacob Berkovits
• Grantee: Luis Max Guillen Quiroz
• Supervisor: Freddy Cachazo
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Institution abroad: Perimeter Institute for Theoretical Physics, Canada
• Associated to the scholarship: 15/23732-2 - Pure spinors in eleven dimensions, BP.DR

Abstract

Over past years a new approach to compute S-matrix elements for N=4 D=4 Super Yang-Mills theory (SYM) has been developed. This framework makes use of the so-called spinor helicity formalism to write in a compact and elegant way several formulae for N=4 D=4 SYM scattering amplitudes. Color-kinematics duality, BCFW recursion relations, Kleiss-Kuijf relations among others are properties that scattering amplitudes have been shown to satisfy in this novel formalism. Since N=4 D=4 SYM can be obtained from N=1 D=10 SYM via dimensional reduction, one would expect to be able to find this kind of simplifications in D=10 dimensions as well. This D=10 spinor helicity formalism might allow us to study N=1 D=10 SYM scattering amplitudes in a more efficient way as compared to the current methods via string theory. BFCW-type relations, supertwistor structures, dualities among other aspects are expected to be found using this new framework. (AU)