A platform where experts in conformal bootstrap techniques and in statistical physics can discuss and solve specific mathematical and physical problems.
Week 1: Status of the conformal bootstrap
Leading experts on the conformal bootstrap will give introductory courses on:
Week 2: Statistical physics targets
Discussing various statistical models, with an emphasis on the aspects that are relevant to a bootstrap approach.
Examples may include: percolation, depinning, loop-erased random walks, sandpiles, Chalker-Coddington network for the integer quantum Hall effect.
Week 3: Structural phase transitions and other unitary problems
Structural phase transitions are described by unitary theories, which makes them accessible to existing numerical bootstrap methods. However, they are challenging because of their intricate group theory and phenomenology. We will review:
We will also discuss other types of unitary CFTs.
Week 4: Non-unitary bootstrap methods
The best-developed numerical bootstrap techniques rely on unitarity, which is however not available in logarithmic CFTs, the critical Potts model, percolation, or disordered systems. We will explore two approaches to the non-unitary bootstrap:
We may start with a family of unitary models such as the O(N) model, and vary the parameter continuously to a non-unitary or logarithmic fixed point.