Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions
Quantum Algebra
2012-05-14 v2 High Energy Physics - Theory
Representation Theory
Abstract
This is the fourth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (Part IV), we give constructions of the P(z)- and Q(z)-tensor product bifunctors using what we call "compatibility conditions" and certain other conditions.
Keywords
Cite
@article{arxiv.1012.4198,
title = {Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions},
author = {Yi-Zhi Huang and James Lepowsky and Lin Zhang},
journal= {arXiv preprint arXiv:1012.4198},
year = {2012}
}
Comments
Part IV of a series of 8 papers generalizing the results in and collectively replacing arXiv:0710:2687, with new titles. 94 pages. Minor changes