Intertwining operators, the composability condition and the complete reducibility of generalized modules
Quantum Algebra
2018-09-26 v2 High Energy Physics - Theory
Representation Theory
Abstract
A cohomological criterion for the complete reducibility of modules of finite length satisfying a composability condition for a meromorphic open-string vertex algebra has been given by Qi and the author. In order to apply this criterion, one needs to determine what types of -modules satisfy the composability condition. In this paper, we prove that the composability condition is satisfied by generalized modules in a suitable category for a grading-restricted vertex algebra satisfying natural conditions.
Cite
@article{arxiv.1809.02756,
title = {Intertwining operators, the composability condition and the complete reducibility of generalized modules},
author = {Yi-Zhi Huang},
journal= {arXiv preprint arXiv:1809.02756},
year = {2018}
}
Comments
A mistake has been found in the proof of Theorem 4: In general, $\pi_{W_{2}}\circ Y_{W}$ is not an intertwining operator