Additional symmetries of the extended bigraded Toda hierarchy
Bojko Bakalov, William Wheeless

TL;DR
This paper constructs and explicitly describes new symmetries of the extended bigraded Toda hierarchy, revealing a Virasoro subalgebra action on its tau-function, which generalizes previous results.
Contribution
It introduces additional symmetries for the EBTH and details their explicit action on key hierarchy components, extending the understanding of its algebraic structure.
Findings
Identified new symmetries acting on the Lax operator and tau-function
Established a Virasoro subalgebra structure within the symmetries
Generalized previous symmetry results of Dubrovin and Zhang
Abstract
The extended bigraded Toda hierarchy (EBTH) is an integrable system satisfied by the total descendant potential of with two orbifold points. We construct additional symmetries of the EBTH and describe explicitly their action on the Lax operator, wave operators, and tau-function of the hierarchy. In particular, we obtain infinitesimal symmetries of the EBTH that act on the tau-function as a subalgebra of the Virasoro algebra, generalizing those of Dubrovin and Zhang.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
