The Virasoro-like Algebra of a Frobenius Manifold

Autor:	Liu, Si-Qi, Yang, Di, Zhang, Youjin, Zhou, Jian
Rok vydání:	2021
Předmět:	Mathematical Physics Mathematics - Algebraic Geometry Mathematics - Differential Geometry Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	For an arbitrary calibrated Frobenius manifold, we construct an infinite dimensional Lie algebra, called the Virasoro-like algebra, which is a deformation of the Virasoro algebra of the Frobenius manifold. By using the Virasoro-like algebra we give a family of quadratic PDEs that are satisfied by the genus-zero free energy of the Frobenius manifold. We also derive, under the semisimplicity assumption, the Virasoro constraints for the corresponding abstract Hodge partition function. Comment: 27pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.07526 Zobrazit plný text záznamu View this record from Arxiv