Logarithmic intertwining operators and associative algebras
Quantum Algebra
2021-10-29 v3 High Energy Physics - Theory
Representation Theory
Abstract
We establish an isomorphism between the space of logarithmic intertwining operators among suitable generalized modules for a vertex operator algebra and the space of homomorphisms between suitable modules for a generalization of Zhu's algebra given by Dong-Li-Mason.
Cite
@article{arxiv.1104.4679,
title = {Logarithmic intertwining operators and associative algebras},
author = {Yi-Zhi Huang and Jinwei Yang},
journal= {arXiv preprint arXiv:1104.4679},
year = {2021}
}
Comments
41 pages. The statement of Lemma 5.5 in the published version is wrong because it is not compatible with the definitions of $A_N(W)$ and the right action of $V$ on $W$ in the original version. These definitions are modified. The proofs of Lemma 4.4, Lemma 4.6, Theorem 4.7 are also modified accordingly. Lemma 5.5 is correct with the modified definitions