Diagonal Tau-Functions of 2D Toda Lattice Hierarchy, Connected ( , )-Point Functions, and Double Hurwitz Numbers
We derive an explicit formula for the connected ( , )-point functions associated with an arbitrary diagonal tau-function ( ⁺, ⁻) of the 2d Toda lattice hierarchy using fermionic computations and the boson-fermion correspondence. Then, for fixed ⁻, we compute the KP-affine coordinates of ( ⁺, ⁻...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212046 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Diagonal Tau-Functions of 2D Toda Lattice Hierarchy, Connected ( , )-Point Functions, and Double Hurwitz Numbers. Zhiyuan Wang and Chenglang Yang. SIGMA 19 (2023), 085, 33 pages |