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.
Home page url
Download or read it online for free here:
by Ingemar Bengtsson - Stockholms universitet, Fysikum
Lecture notes for a graduate course in quantum electrodynamics. Contents: What is a field theory; Quantum theory of the free scalar field; Spacetime properties; The Unruh effect; The Dirac field; Quantum theory of the Dirac field; and more.
by Jan Ambjorn - arXiv.org
From the table of contents: Introduction; Bosonic propagators and random paths; Random surfaces and strings; Matrix models and two-dimensional quantum gravity; The mystery of c>1; Euclidean quantum gravity in d>2; Discussion.
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.