dorsal/arxiv
View SchemaThe construction of Frobenius manifolds from KP tau-functions
| Authors | J. W. van de Leur, R. Martini |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9808008 |
| URL | https://arxiv.org/abs/solv-int/9808008 |
| DOI | 10.1007/s002200050691 |
Abstract
Frobenius manifolds (solutions of WDVV equations) in canonical coordinates are determined by the system of Darboux-Egoroff equations. This system of partial differential equations appears as a specific subset of the $n$-component KP hierarchy. KP representation theory and the related Sato infinite Grassmannian are used to construct solutions of this Darboux-Egoroff system and the related Frobenius manifolds. Finally we show that for these solutions Dubrovin's isomonodromy tau-function can be expressed in the KP tau-function.
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"abstract": "Frobenius manifolds (solutions of WDVV equations) in canonical coordinates\nare determined by the system of Darboux-Egoroff equations. This system of\npartial differential equations appears as a specific subset of the\n$n$-component KP hierarchy. KP representation theory and the related Sato\ninfinite Grassmannian are used to construct solutions of this Darboux-Egoroff\nsystem and the related Frobenius manifolds. Finally we show that for these\nsolutions Dubrovin\u0027s isomonodromy tau-function can be expressed in the KP\ntau-function.",
"arxiv_id": "solv-int/9808008",
"authors": [
"J. W. van de Leur",
"R. Martini"
],
"categories": [
"solv-int",
"hep-th",
"math.AG",
"math.QA",
"nlin.SI"
],
"doi": "10.1007/s002200050691",
"title": "The construction of Frobenius manifolds from KP tau-functions",
"url": "https://arxiv.org/abs/solv-int/9808008"
},
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