Formal distribution algebras and conformal algebras

Abstract

Conformal algebra is an axiomatic description of the operator product expansion (or rather its Fourier transform) of chiral fields in a conformal field theory. This is a review of recent developments in the subject.

A talk at the Brisbane Congress in Math. Physics, July 1997, 20 pages, LaTeX2e

References in corpus (1)

• $\Gamma$-Conformal Algebras

Cited by in corpus (36)

• Low dimensional cohomology of general conformal algebras $g{c}_N$
• Finite conformal modules over the N=2,3,4 superconformal algebras
• Loop Virasoro Lie Conformal Algebra
• Loop Heisenberg-Virasoro Lie Conformal algebra
• Simple associative conformal algebras of linear growth
• On the Hochschild cohomologies of associative conformal algebras with a finite faithful representation
• Infinite rank Schrodinger-Virasoro type Lie conformal algebras
• Central extensions and conformal derivations of a class of Lie conformal algebras
• Moonshine for Rudvalis's sporadic group II
• Cohomology of Heisenberg-Virasoro conformal algebra
• Finite irreducible conformal modules over the Lie conformal superalgebra $\mathcal{S}(p)$
• On embedding of Lie conformal algebras into associative conformal algebras
• The Lie conformal algebra of a Block type Lie algebra
• Simple Finite Jordan Pseudoalgebras
• The Heisenberg-Virasoro Lie conformal superalgebra
• On Schrödinger-Virasoro type Lie conformal algebras
• Unital associative pseudoalgebras and their representations
• Loop super-Virasoro Lie conformal superalgebra
• Structures of $W(2,2)$ Lie conformal algebra
• The Tits--Kantor--Koecher construction for Jordan dialgebras
• Conformal $(\si,\t)$-Derivations on Lie conformal superalgebras
• Associative conformal algebras with finite faithful representation
• Trivial construction of free associative conformal algebra
• On associative conformal algebras of linear growth II
• Differential Conformal Superalgebras and their Forms
• Associative algebras related to conformal algebras
• Universally defined representations of Lie conformal superalgebras
• Extensions of finite irreducible modules of Lie conformal algebras $\mathcal{W}(a,b)$ and some Schrödinger-Virasoro type Lie conformal algebras
• Finite irreducible modules of Lie conformal algebras $\mathcal{W}(a,b)$ and some Schrödinger-Virasoro type Lie conformal algebras
• Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules
• On antisymmetric infinitesimal conformal bialgebras
• Identities of conformal algebras and pseudoalgebras
• On irreducible algebras of conformal endomorphisms over a linear algebraic group
• On the Wedderburn principal theorem in conformal algebras
• On twisted representations of vertex algebras
• Conformal subalgebras of lattice vertex algebras