Equivalence of quantizations of the dispersionless KdV hierarchy
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914087716257792 |
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| author | Blot, Xavier |
| author_facet | Blot, Xavier |
| contents | Wang recently constructed a quantization of the dispersionless KdV hierarchy using the Heisenberg vertex algebra. Independently, in joint work with Rossi, we obtained a quantization of the dispersionless KdV hierarchy as the trivial Cohomological Field Theory case of the meromorphic differential hierarchies. In this note, we prove that the two constructions coincide. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10234 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivalence of quantizations of the dispersionless KdV hierarchy Blot, Xavier Mathematical Physics Exactly Solvable and Integrable Systems Wang recently constructed a quantization of the dispersionless KdV hierarchy using the Heisenberg vertex algebra. Independently, in joint work with Rossi, we obtained a quantization of the dispersionless KdV hierarchy as the trivial Cohomological Field Theory case of the meromorphic differential hierarchies. In this note, we prove that the two constructions coincide. |
| title | Equivalence of quantizations of the dispersionless KdV hierarchy |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2510.10234 |