Lecture notes

Available lecture notes and other supporting material:

Introduction to CFT2

• Lecture notes (with solutions to exercises)
• ArXiv version of the lecture notes (with a slightly different plan): https://arxiv.org/abs/1609.09523

Wess-Zumino-Witten models

• Lecture notes (with solutions to exercises)

Boundaries and defects

• Introductory lectures on topological quantum field theory
• 2-dimensional defect TQFT
• Handout on open-closed 2-dimensional bordisms

 

Wikipedia CFT2 project

A tutorial has been devoted to how to write in Wikipedia, with the aim of improving the existing Wikipedia content related to the topics of the school. More information on this project can be found at the page

https://en.wikipedia.org/wiki/User:Sylvain_Ribault/YRIS2019

The page also contains links to several CFT2 related articles on Wikipedia. Enjoy them and help us improving!

 

Video recordings

Video recordings of all lectures are available on the Phaidra platform of the University of Vienna. You can find below individual links to each lecture.

Introduction to CFT2

1. The Virasoro algebra and its representations
2. Fields and correlation functions
3. BPZ equations - free bosons
4. Conformal bootstrap
5. Fusion rules - Minimal models
6. Minimal models (continued) - Modular bootstrap
7. Liouville theory

Wess-Zumino-Witten models

1. Classical WZW model and current algebras
2. Sugawara construction
3. Representations
4. Modular invariants

W-algebras

1. W-algebras 1
2. W-algebras 2
3. W-algebras 3
4. W-algebras 4

Boundaries and defects

1. Boundaries and defects 1
2. Boundaries and defects 2
3. Boundaries and defects 3
4. Boundaries and defects 4

Deformations

1. Conformal perturbation theory 1
2. Conformal perturbation theory 2
3. Conformal perturbation theory 3
4. The TTbar deformation and integrable models 1
5. The TTbar deformation and integrable models 2
6. The TTbar deformation and integrable models 3