Introduction to 2d Conformal Field Theory, Fall 2018

Syllabus

Lecture notes (most updated entire notes)

The lecture notes are written with my undergrad student, Runkai Tao. Without his help, this course would be impossible. Thanks a lot!


lecture1 (introduction, conformal transformation)

lecutre2 (Ward-Takahashi identity, primary fields)

lecture3 (free boson, Virasoro algebra)

lecture4 (free boson continued, free fermion)

lecture5 (torus partition functions)

lecture6 (minimal model)

lecture7 (minimal model continued)

lecture8 (RG flow and Zamolodchikov c-theorem)

lecture9 (WZW model)

lecture10 (WZW model continued)

lecture11 (Modular invariant partition functions) taught by Daisuke Yokoyama

lecture12 (Entanglement entropy) taught by Jirui Guo

lecture13 (holography)

lecture14 (Ryu-Takayanagi formula)

Lecture notes are written by referring to various sources without mentioning it. Comments are welcome.

Homework

homework1

homework2

homework3

homework4

homework5

homework6

homework7

homework8

homework9

homework10

homework11

homework12

homework13


First, you should try to solve problem sets by yourself.

If you cannot solve a problem. the corresponding solution will be sent on request.