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 m...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269324006841 |
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| author | A. Marshakov |
| author_facet | A. Marshakov |
| author_sort | A. Marshakov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-db8fb96701df4d189e8c2bbfa183d1bc |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-db8fb96701df4d189e8c2bbfa183d1bc2024-11-30T07:08:56ZengElsevierPhysics Letters B0370-26932024-12-01859139126On Krichever tau-function and Verlinde formulaA. Marshakov0I. Krichever Center for Advanced Studies, Skoltech; Department of Mathematics, HSE; Theory Department of LPI; Correspondence to: I. Krichever Center for Advanced Studies, Skoltech, Moscow, Russian Federation.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.http://www.sciencedirect.com/science/article/pii/S0370269324006841 |
| spellingShingle | A. Marshakov On Krichever tau-function and Verlinde formula Physics Letters B |
| title | On Krichever tau-function and Verlinde formula |
| title_full | On Krichever tau-function and Verlinde formula |
| title_fullStr | On Krichever tau-function and Verlinde formula |
| title_full_unstemmed | On Krichever tau-function and Verlinde formula |
| title_short | On Krichever tau-function and Verlinde formula |
| title_sort | on krichever tau function and verlinde formula |
| url | http://www.sciencedirect.com/science/article/pii/S0370269324006841 |
| work_keys_str_mv | AT amarshakov onkrichevertaufunctionandverlindeformula |