Computational Methods in 2D CFT

Compute the Operator Product Expansion of the stress-energy tensor with itself.

Calculate correlation functions in minimal models using null state decoupling.

Define the CFT partition function on a torus and describe its modular transformation properties.

Compute the partition function for a free boson on a torus and verify its modular invariance.

Apply Wick's theorem to compute correlation functions in free bosonic and fermionic CFTs.

Define characters of Virasoro representations and use modular invariance to constrain the operator spectrum of a rational CFT.