**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

**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.

(

**9971**views)

**Topological Field Theory**

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.

(

**7298**views)

**Yang Mills model of interacting particles in the classical field theory**

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.

(

**8253**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.

(

**9336**views)