On Krichever tau-function and Verlinde formula

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.

Authors

Publication Details

Journal
Physics Letters B
Published
2024-11-15
DOI
https://doi.org/10.1016/j.physletb.2024.139126
Citations
2
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
1.78
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article

On Krichever tau-function and Verlinde formula

A. Marshakov
2 citations
Physics Letters B
Advanced Algebra and Geometry
1.78
article

On Krichever tau-function and Verlinde formula

A. Marshakov
article en
2 citations

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.

Physics Letters BVol. 859
Openalex Percentile: Top 15%
Advanced Algebra and Geometry
1.78
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On Krichever tau-function and Verlinde formula — A. Marshakov · Physics Letters B (2024) | TGRS Research Map | TGRS