PreprintarXiv licencearXiv
A dual theory of Zhu's theory
Abstract
We establish a dual theory of Zhu's A(𝒱)-theory, i.e., for a graded vertex operator coalgebra V, the coassociative coalgebra C(V) are investigated, any admissible V-comodule gives a C(V)-comodule, and vice versa. We also prove that V is corational, which means every admissible V-comodule is completely reducible, if and only if its dual vertex operator algebra V' is rational.
Related
- A dual theory of twisted Zhu's theory
- Advancing the Theory of Sheffer Sequences via Dual Padé Rational Approximants
- A Self-Dual Frame Formalism of the SO(3) Yang-Mills Theory
- A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades
- On a Dual Heterotic Kodaira-Spencer Theory
BibTeX
@misc{wang2026dual,
title = {{A dual theory of Zhu's theory}},
author = {Hao Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.07179},
eprint = {2609.07179},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.07179},
}
RIS
TY - UNPB
TI - A dual theory of Zhu's theory
AU - Hao Wang
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2609.07179
UR - https://arxiv.org/abs/2609.07179
AB - We establish a dual theory of Zhu's A(𝒱)-theory, i.e., for a graded vertex operator coalgebra V, the coassociative coalgebra C(V) are investigated, any admissible V-comodule gives a C(V)-comodule, and vice versa. We also prove that V is corational, which means every admissible V-comodule is completely reducible, if and only if its dual vertex operator algebra V' is rational.
ER -