A logarithmic generalization of tensor product theory for modules for a vertex operator algebra
Quantum Algebra
2008-11-26 v3 High Energy Physics - Theory
Representation Theory
Abstract
We describe a logarithmic tensor product theory for certain module categories for a ``conformal vertex algebra.'' In this theory, which is a natural, although intricate, generalization of earlier work of Huang and Lepowsky, we do not require the module categories to be semisimple, and we accommodate modules with generalized weight spaces. The corresponding intertwining operators contain logarithms of the variables.
Cite
@article{arxiv.math/0311235,
title = {A logarithmic generalization of tensor product theory for modules for a vertex operator algebra},
author = {Yi-Zhi Huang and James Lepowsky and Lin Zhang},
journal= {arXiv preprint arXiv:math/0311235},
year = {2008}
}
Comments
39 pages. Misprints corrected. Final version