Schedule: July 14 to July 18 (5 classes), all at 16h00 (BRT)/19h00 (UTC).
Workload: 10h
Topics: Two-component spinors and the Lorentz group. Projective spaces and twistor geometry. The Penrose transform. Ambitwistors and applications to gauge theory and string theory.
Pre-requisites: Quantum field theory and basic notions of general relativity. Some previous exposure to supersymmetry and algebraic topology is helpful but not necessary.
S. A. Huggett and K. P. Todd. An Introduction to Twistor Theory. London Mathematical Society Student Texts. Cambridge: Cambridge University Press, 1994.
R. S. Ward and R. O. Wells. Twistor Geometry and Field Theory. Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge University Press, 1990.