Equivalence of quantizations of the dispersionless KdV hierarchy
Mathematical Physics
2025-10-14 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
Wang recently constructed a quantization of the dispersionless KdV hierarchy using the Heisenberg vertex algebra. Independently, in joint work with Rossi, we obtained a quantization of the dispersionless KdV hierarchy as the trivial Cohomological Field Theory case of the meromorphic differential hierarchies. In this note, we prove that the two constructions coincide.
Keywords
Cite
@article{arxiv.2510.10234,
title = {Equivalence of quantizations of the dispersionless KdV hierarchy},
author = {Xavier Blot},
journal= {arXiv preprint arXiv:2510.10234},
year = {2025}
}