Abstract
The extended bigraded Toda hierarchy (EBTH) is an integrable system satisfied by the Gromov-Witten total descendant potential of ℂℙ1 with two orbifold points. We write a bilinear equation for the tau-function of the EBTH and derive Fay identities from it. We show that the action of Darboux transformations on the tau-function is given by vertex operators. As a consequence, we obtain generalized Fay identities.
Original language | English (US) |
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Article number | 065202 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 53 |
Issue number | 6 |
DOIs | |
State | Published - Jan 14 2020 |
Bibliographical note
Publisher Copyright:© 2020 IOP Publishing Ltd.
Keywords
- Darboux transformation
- Fay identities
- Lax operator
- extended bigraded Toda hierarchy
- tau-function
- wave function
- wave operator