The Virasoro symmetries of the bigraded modified Toda hierarchy
Exactly Solvable and Integrable Systems
2025-03-17 v1 Mathematical Physics
math.MP
Abstract
Modified Toda hierarchy is a two-component generalization of the 1st modified KP hierarchy, which has been widely applied to analyze constraints of the Toda hierarchy, including the B--Toda and C--Toda hierarchies. In this paper, we construct additional symmetries for the modified Toda hierarchy and derive the corresponding Adler-Shiota-van Moerbeke formula. In addition, we also show that --bigraded modified Toda hierarchy(BMTH), which is a special reduction for modified Toda, possess additional symmetries that form a subalgebra of the Virasoro algebra.
Keywords
Cite
@article{arxiv.2503.11303,
title = {The Virasoro symmetries of the bigraded modified Toda hierarchy},
author = {Yi Yang},
journal= {arXiv preprint arXiv:2503.11303},
year = {2025}
}