Open-closed field algebras
Quantum Algebra
2010-03-30 v3 High Energy Physics - Theory
Abstract
We introduce the notions of open-closed field algebra and open-closed field algebra over a vertex operator algebra V. In the case that V satisfies certain finiteness and reductivity conditions, we show that an open-closed field algebra over V canonically gives an algebra over a -extension of the Swiss-cheese partial operad. We also give a tensor categorical formulation and categorical constructions of open-closed field algebras over V.
Cite
@article{arxiv.math/0610293,
title = {Open-closed field algebras},
author = {Liang Kong},
journal= {arXiv preprint arXiv:math/0610293},
year = {2010}
}
Comments
55 pages, largely revised, an old subsection is deleted, a few references are added