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arXiv · 2112.07526

The Virasoro-like Algebra of a Frobenius Manifold

Si-Qi Liu·Di Yang·Youjin Zhang·Jian Zhou
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Abstract

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.

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BibTeXRIS

Si-Qi Liu, Di Yang, Youjin Zhang, Jian Zhou. 2021-12-14. The Virasoro-like Algebra of a Frobenius Manifold. https://arxiv.org/abs/2112.07526

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