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Variational Bihamiltonian Cohomologies and Integrable Hierarchies II: Virasoro Symmetries

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Abstract

We prove that for any tau-symmetric bihamiltonian deformation of the tau-cover of the Principal Hierarchy associated with a semisimple Frobenius manifold, the deformed tau-cover admits an infinite set of Virasoro symmetries.

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Acknowledgements

This work is supported by NSFC Nos. 12171268,  11725104 and  11771238. We thank the anonymous referees for helpful comments and suggestions to improve the presentation of the paper.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People’s Republic of China

    Si-Qi Liu, Zhe Wang & Youjin Zhang

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  1. Si-Qi Liu
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  2. Zhe Wang
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  3. Youjin Zhang
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Correspondence to Youjin Zhang.

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Communicated by Y. Kawahigashi.

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Liu, SQ., Wang, Z. & Zhang, Y. Variational Bihamiltonian Cohomologies and Integrable Hierarchies II: Virasoro Symmetries. Commun. Math. Phys. 395, 459–519 (2022). https://doi.org/10.1007/s00220-022-04433-7

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