Bootstrapping conformal theories in arbitrary dimension

Sheer El-Showk (LPTHE Jussieu)

Miguel Paulos (CERN)

2015-09-11 10:00, Salle Itzykson, IPhT
2015-09-18 10:00, Salle Itzykson, IPhT
2015-09-25 10:00, Salle Itzykson, IPhT
2015-10-02 10:00, Salle Itzykson, IPhT
2015-10-09 10:00, Salle Itzykson, IPhT
2015-10-16 10:00, Salle Itzykson, IPhT
Approved by the École Doctorale ED PIF
Abstract: 

Conformal field theories (CFTs) are special kinds of quantum field theories with enhanced spacetime symmetry, relevant in a variety of systems ranging from condensed matter to quantum gravity.

In these lectures we shall discuss CFTs in general spacetime dimension and then focus on the so-called conformal bootstrap, which highly constrains the structure of these theories. This will include a derivation of various necessary concepts such as the OPE, crossing symmetry and conformal blocks.

We will then describe how the modern bootstrap reformulates crossing symmetry as a numerical problem that can be systematically studied and solved on a computer. Finally we will show how these methods have been used to achieve state-of-the-art results on important problems in strongly coupled physics such as the three dimensional Ising model.

Series: 
IPhT Courses
Short course title: 
Bootstrapping CFT
Arxiv classes: