English

On Krichever tau-function and Verlinde formula

High Energy Physics - Theory 2024-11-19 v3 Mathematical Physics math.MP

Abstract

We remind the definition and main properties of the Krichever quasiclassical tau-function, and turn to the application of these formulas for recent studies of two-dimensional quantum gravity. We show, that in the case of minimal gravity it turns to be directly related with the Verlinde formula for minimal models, giving in particular case its one more direct proof. Generalizations for continuous "complex Liouville" theory are also briefly discussed.

Keywords

Cite

@article{arxiv.2410.09863,
  title  = {On Krichever tau-function and Verlinde formula},
  author = {A. Marshakov},
  journal= {arXiv preprint arXiv:2410.09863},
  year   = {2024}
}

Comments

Minor changes, typos corrected; 16 pages, 2 figures; journal ref added

R2 v1 2026-06-28T19:19:33.209Z