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Introduction to Twistor Theory

Lecturer: Rafael Grossi e Fonseca, MSc (IFUSP)

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.

Bibliography:

  1. Tim Adamo. Lectures on Twistor Theory. arXiv: 1712.02196v2 [hep-th].
  2. S. A. Huggett and K. P. Todd. An Introduction to Twistor Theory. London Mathematical Society Student Texts. Cambridge: Cambridge University Press, 1994.
  3. R. S. Ward and R. O. Wells. Twistor Geometry and Field Theory. Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge University Press, 1990.
  4. R. Penrose and W. Rindler. Spinors and Space-Time, Vol. 2: Spinor and Twistor Methods in Space-Time Geometry. Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge University Press, 1986.