The loop equation for the Burgers--KdV hierarchy
Mathematical Physics
2024-09-20 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
The Burgers--KdV hierarchy was introduced towards understanding intersection numbers on the moduli space of Riemann surfaces with boundaries. The goal of this paper is to derive the Dubrovin--Zhang type loop equation for the topological tau-function of the Burgers--KdV hierarchy. As as application, we provide some relations for open intersection numbers.
Keywords
Cite
@article{arxiv.2409.12529,
title = {The loop equation for the Burgers--KdV hierarchy},
author = {Di Yang and Chunhui Zhou},
journal= {arXiv preprint arXiv:2409.12529},
year = {2024}
}
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22 pages