Virasoro Algebra and Conformal Field Theory. 2019
Preliminary plan of the course.
- Bootstrap in 2d CFT. Conformal algebra. Space of fields in CFT. Stress-energy-momentum tensor. Ward identities.
- Virasoro algebra. Verma modules, Shapovalov form, singular vectors. Asymptotic behaviour of the
- Conformal blocks . Vertex operators, conformal blocks. Zamolodchikov's recursion
- Degenerate fileds. Differential equation on conformal blocks, hypergeometric function, fusion rules.
Three point functions.
- Minimal models. Characters of representations. Unitarity.
- Coset construction. Affine lie algebras. Coset construction. Unitary representations of the
- Drinfeld-Sokolov reduction. Finite dimensional case. Classical Drinfeld-Sokolov reduction. Quantum Drinfeld-Sokolov
Materials of 2018 year course
Materials of 2017 year course