Conformal Field Theory
This is the course page of PHY668A.
Lecture notes
CFT Lecture 1.pdfLecture 1
CFT lecture 2.pdfLecture 2
CFT Lecture 3.pdfLecture 3
CFT lecture 4-5.pdfLectures 4 and 5
CFT lecture 6.pdfLecture 6
CFT Lecture 7.pdfLecture 7
CFT lecture 8.pdfLecture 8
CFT Lecture 9.pdfLecture 9
CFT Lecture 10.pdfLecture 10
CFT Lecture 11.pdfLecture 11
CFT Lecture 12.pdfLecture 12
CFT Lecture 13.pdfLecture 13
CFT Lecture 14.pdfLecture 14
CFT Lecture 15.pdfLecture 15
CFT Lecture 16.pdfLecture 16-17
CFT Lecture 18.pdfLecture 18
CFT Lecture 19-20.pdfLecture 19-20
Lecture 21-23.pdfLecture 21-23
Notes from extra lectures.
Beta functions
Note weyl.pdfWeyl anomaly
Video lectures
Lecture 2
Lecture 3
Lecture 4
Lecture 5
Lecture 6
Lecture 7
Lecture 8
Lecture 9
Lecture 10
Lecture 11
Lecture 12
Lecture 13
Lecture 14
Lecture 15
Lecture 16
Lecture 17
Lecture 18
Lecture 19
Lecture 20
Lecture 21
Lecture 22
Lecture 23
Further Reading
There are numerous very good lecture notes on the internet, over and above the books mentioned in the earlier teaching page. The course will draw from many of these. Below is a partial list of things we will find useful.
The original Belavin-Polykov-Zamolodchikov paper.
Applied Conformal Field Theory by Paul Ginsparg.
Notes by David Tong. (Part of his String Theory lectures.)
TASI lectures on Conformal Bootstrap by David Simmons-Duffin.
Assignments
Some of the assignments given in the course periodically appear here.
Assignment 1: Compute the beta-function for the massless $\phi^4$ theory. [This is basically a reading exercise! Consult any reasonable QFT book if you are stuck.]
Assignment 2: PDF.