Applied Conformal Field Theory

Details Applied Conformal Field Theory Applied Conformal Field Theory

1988-11-11

arxiv.org/abs/hep-th/9108028v1

Fields, Strings and Critical Phenomena, (Les Houches, Session XLIX, 1988) ed. by E. Br\'ezin and J. Zinn Justin, 1989

Physics

High Energy Physics

High Energy Physics - Theory

Lectures given at Les Houches summer session, Jun 28 -- Aug 5, 1988

Scientific paper

These lectures consisted of an elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Contents: 1. Conformal theories in d dimensions 2. Conformal theories in 2 dimensions 3. The central charge and the Virasoro algebra 4. Kac determinant and unitarity 5. Identication of m = 3 with the critical Ising model 6. Free bosons and fermions 7. Free fermions on a torus 8. Free bosons on a torus 9. Affine Kac-Moody algebras and coset constructions 10. Advanced applications

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