II GraSP

Official website for the II São Paulo School on Gravitational Physics

---

Hosted on GitHub Pages Theme based on "Midnight", by mattgraham

Introduction to Twistor Theory

Lecturer

Rafael Grossi e Fonseca (IFUSP, Brazil)

Language

English

Schedule

14–18 Jul 2025 (5 classes)

Time

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

Prerequisites

Quantum field theory and basic notions of general relativity. Some previous exposure to supersymmetry and algebraic topology is helpful but not necessary.

Bibliography

• Tim Adamo. “Lectures on Twistor Theory”. arXiv: 1712.02196 [hep-th].
• S. A. Huggett and K. P. Todd. An Introduction to Twistor Theory (Cambridge University Press: Cambridge, 1994).
• R. S. Ward and R. O. Wells. Twistor Geometry and Field Theory (Cambridge University Press: Cambridge, 1990).
• R. Penrose and W. Rindler. Spinors and Space-Time, Vol. 2: Spinor and Twistor Methods in Space-Time Geometry (Cambridge University Press: Cambridge, 1986).

Resources

• Lecture notes (preliminary version covering classes 1 and 2)

Recordings