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 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 Linfan Mao - InfoQuest
Topics covered in this book include fundamental of mathematical combinatorics, differential Smarandache n-manifolds, combinatorial or differentiable manifolds and submanifolds, Lie multi-groups, combinatorial principal fiber bundles, etc.
by Jean Claude Dutailly - arXiv
The purpose is to study interacting particles in the General Relativity context, by the principle of least action using purely classical concepts. The particles are described by a state tensor using a Clifford algebra for the kinematic part.
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.