Work

Twisted vertex operators and Bernoulli polynomials

Year: 2003

Type: preprint

Abstract: Using general principles in the theory of vertex operator algebras and their twisted modules, we obtain a bosonic, twisted construction of a certain central extension of a Lie algebra of differential operators on the circle, for an arbitrary twisting automorphism. The construction involves the Bernoulli polynomials in a fundamental way. We develop new identities and principles in the theory of vertex operator algebras and their twisted modules, and explain the construction by applying general results, including an identity that we call "modified weak associativity", to the Heisenberg vertex operator algebra. This paper gives proofs and further explanations of results announced earlier. It is a generalization to twisted vertex operators of work announced by the second author some time ago, and includes as a special case the proof of the main results of that work.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0311151

Authors: Doyon, Benjamin, Lepowsky, James, Milas, Antun

Institutions: Rutgers, The State University of New Jersey, University of Oxford, University of Arizona, University at Albany, State University of New York, Environmental and Occupational Health Sciences Institute

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Natural Sciences and Engineering Research Council of Canada

Award: Vertex Operator Algebras and Mathematical Conformal Field Theory

OpenAlex ID: W2950067667

Cites: 32

Cited by: 1

Related to: 20