Applied Conformal Field Theory
by Paul Ginsparg
Publisher: arXiv 1988
Number of pages: 90
These lectures consisted of an elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Contents: Conformal theories in d dimensions; Conformal theories in 2 dimensions; The central charge and the Virasoro algebra; Kac determinant and unitarity; Identication of m = 3 with the critical Ising model; Free bosons and fermions; Free fermions on a torus; Free bosons on a torus; Affine Kac-Moody algebras and coset constructions; Advanced applications; etc.
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by Andrew E. Blechman - University of Toronto
This text helps students fill the gap of knowledge between the QFT courses students take when they start graduate work in theoretical physics, and actual research. The book covers the basics of vitally important techniques used in modern research.
by Matthias R Gaberdiel - arXiv
A comprehensive introduction to two-dimensional conformal field theory is given. Conformal field theories have been at the center of attention during the last fifteen years since they are relevant for different areas of modern theoretical physics.
by Graeme Segal - Duke University
Contents: Topological field theories (The basic structure, The 'toy model' for a finite group, Open Strings, Area-dependent theories); The Index and Determinant of the Dirac Operator; Braided tensor categories; String algebras.
by Y. Eliashberg, A. Givental, H. Hofer - arXiv
We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to Gromov-Witten invariants of symplectic manifolds and their Lagrangian submanifolds in the spirit of topological field theory.