**Conformal Field Theory on the Plane**

by Sylvain Ribault

**Publisher**: arXiv 2014**Number of pages**: 119

**Description**:

We provide an introduction to conformal field theory on the plane in the conformal bootstrap approach. We introduce the main ideas of the bootstrap approach to quantum field theory, and how they apply to two-dimensional theories with local conformal symmetry. We describe the mathematical structures which appear in such theories, from the Virasoro algebra and its representations, to the BPZ equations and their solutions.

Download or read it online for free here:

**Download link**

(1.1MB, PDF)

## Similar books

**Applied Conformal Field Theory**

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.

(

**4766**views)

**Geometry of 2D Topological Field Theories**

by

**Boris Dubrovin**-

**arXiv**

These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Topics: WDVV equations and Frobenius manifolds; Polynomial solutions of WDVV; Symmetries of WDVV; etc.

(

**7428**views)

**Quantum Electrodynamics**

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.

(

**6914**views)

**Introduction to Symplectic Field Theory**

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.

(

**7824**views)