field theory (CFT) is an important subject in theoretical physics. It appears
roughly in three different major areas of research. 1. Quantum field theories
at long distance usually have enhanced conformal symmetry and are described by CFTs.
2. In string perturbation theory, two dimensional CFTs are used to describe the
dynamics of the world-sheet of strings. 3. Quantum gravity in asymptotically anti-de
Sitter space (AdS) is holographically dual to CFT by the AdS/CFT correspondence.
This course will
cover nonperturbative methods in CFT, with applications to string theory, quantum
gravity, and particle physics.
David Simmons-Duffin, TASI Lectures on the Conformal
Di Francesco, P. Mathieu, and D. Senechal,Conformal Field Theory
J. Polchinski,String Theory, chapter 2
Xi Yin,Aspects of
Two-Dimensional Conformal Field Theories, PoS TASI2017 (2017) 003