Conformal Field Theory
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see also String theory
books
Conformal Field Theory
by P. Di Francesco, P. Mathieu, and D. Senechal (Springer Verlag, 1997)
This encyclopedic reference is a favourite among string theorists.
reviews
Applied Conformal Field Theory
by P. Ginsparg (hep-th/9108028)
These lecture notes are a valuable reference on conformal field theory and Kac-Moody algebras.