Introduction to Symplectic Field Theory
by Y. Eliashberg, A. Givental, H. Hofer
Publisher: arXiv 2000
Number of pages: 102
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, and at the same time serves as a rich source of new invariants of contact manifolds and their Legendrian submanifolds.
Home page url
Download or read it online for free here:
by Sylvain Ribault - arXiv
We provide an introduction to conformal field theory on the plane in the conformal bootstrap approach. We introduce the bootstrap approach to quantum field theory, and how they apply to two-dimensional theories with local conformal symmetry.
by Paul Ginsparg - arXiv
An elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Contents: Conformal theories; Central charge and the Virasoro algebra; Kac determinant and unitarity; etc.
by Jian Qiu - arXiv
These notes cover some topics in both the perturbative and non-perturbative topological Chern-Simons theory: the quantization of Chern-Simons theory, the use of surgery for computation, brief discussions about framings, eta invariants, etc.
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.