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On Krichever tau-function and Verlinde formula

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arxiv 2410.09863 v3 pith:EF5UL4QR submitted 2024-10-13 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords caseformulagravitykricheverminimaltau-functionverlindeapplication
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. $x-y$ swap for $(2,2p+1)$ minimal string

    hep-th 2025-06 conditional novelty 6.0 of 10

    An x-y swapped spectral curve is conjectured to reproduce (2,2p+1) minimal string tachyon correlators without resonance transformations; verified at low genus, with a ground-ring extension that does not match HEM.

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