Conformal Bootstrap: Techniques for Studying Conformal Field Theory - Lecture 1

Explore the fundamentals of conformal field theory in this comprehensive lecture from the Kavli Asian Winter School on Strings, Particles and Cosmology 2018. Delve into the importance of CFTs, their prevalence in various theories, and the key concepts of the conformal bootstrap technique. Learn about the conformal algebra, primary local operators, operator product expansion (OPE), and the stress tensor. Examine the function of identical scalar operators and gain insights through a detailed Q&A session. Ideal for advanced graduate students, postdoctoral fellows, and researchers in high-energy physics and theoretical physics.

Syllabus

Kavli Asian Winter School KAWS on Strings, Particles and Cosmology 2018
Conformal Bootstrap Lecture - 01
Technique to study conformal field theory in d-dimension
Why CFT?
Many theories are conformal field theory
Idea
Plan
All CFT share the conformal algebra
Main ingredient: A set of conformal primary local operators
Operators from an algebra OPE
Observable
Stress Tensor
OPE coefficient with Tensor
Function of identical scalar operator
Q&A