Description
I intend to give an introductory course on basic concepts of 2d CFT, with a focus on how to derive
simple universal results in problems from statistical physics and condensed matter. If time permits, I
would like to cover:
1. Conformal mapping
2. How to calculate with the Gaussian free field
3. Basic structures of CFT (stress-tensor and central charge, OPEs, Hilbert space of a 2d CFT)
4. Phase diagrams of 2d stat-mech models and matching with CFT. Glimpse of random geometric
phenomena (critical percolation)
5. Universality in 1d quantum critical systems. Luttinger liquids, entanglement entropy, heat capacity, etc.