Twistors in Super-Yang-Mills and AdS5xS5

• Grant number: 20/14489-5
• Support Opportunities: Scholarships in Brazil - Master
• Start date: June 01, 2021
• End date: June 30, 2022
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Nathan Jacob Berkovits
• Grantee: Rodrigo Schmidt Pitombo
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Associated research grant: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics, AP.ESP

Abstract

The student will study twistors in the context of four-dimensional super-Yang-Mills and AdS5xS5, and the motivation is to simplify the calculation of scattering amplitudesof the superstring in an AdS5xS5 background. Although many calculations have been performedusing twistors in super-Yang-Mills theory in four dimensions, almost no calculations have been performed using twistors in an AdS5xS5 background. A better understanding of the relationship between pure spinors in ten dimensions and twistors in four dimensions should help with these calculations, and the relationship is non-trivial because the twistors involve a mixture of pure spinors with the space-time variables of the superstring. (AU)