CFT/TFT
Conformal Field Theory is scale-invariant field theory and we can do non-perturbative analysis.
Prerequisite: Quantum Field Theory.
Conformal Field Theory
Part B Fundamentals
4. Global Conformal Invariance
5. Conformal Invariance in Two Dimensions
6. The Operator Formalism
7. Minimal Models I
8. Minimal Models II
9. The Coulomb-Gas Formalism
10. Modular Invariance
11. Finite-Size Scaling and Boundaries
12.The Two-Dimensional Ising Model
Part C Conformal Field Theories with Lie-Group Symmetry
Look: Lie group & Representation
13. Simple Lie Algebras
14. Affine Lie Algebras
15. WZW Models
16. Fusion Rules in WZW Models
17. Modular Invariance in WZW Models
18. Cosets
TASI Lectures on the Conformal Bootstrap
9. Conformal Blocks
10. The Conformal Bootstrap
Aspects of Two-Dimensional Conformal Field Theories
Applied Conformal Field Theory
Chern-Simons Theory
1. Introduction: The Grand Overview
2. Chern-Simons Theories For Abelian Gauge Fields
3. Chern-Simons Theories For NonAbelian Gauge Fields
4. WZW Model And RCFT
5. Topological Field Theories And Categories
6. Computing Nonabelian Chern-Simons Correlators Using RCFT
7. Finite Group Chern-Simons Theory
8. $p$-form Generalizations And Differential Cohomology
9. More About Topological Field Theoreis
10. Anyons, nonaelions, and quantum computation
11. A Survey Of Further Generalizations And Applications
Reference
Di Francesco, Mathieu and Senechal, Conformal Field Theory
P. Ginsparg, Applied Conformal Field Theory
D. Simmons-Duffin, TASI Lectures on the Conformal Bootstrap
Xi Yin, Aspects of 2d CFTs
G. Moore, TASI Lecture notes on Chern-Simons Theory