dorsal/arxiv
View SchemaFredholm determinants and the mKdV/sinh-Gordon hierarchies
| Authors | Craig A. Tracy, Harold Widom |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9506006 |
| URL | https://arxiv.org/abs/solv-int/9506006 |
| DOI | 10.1007/BF02103713 |
| Journal | Commun. Math. Phys 179 (1996) 1--9 |
Abstract
For a particular class of integral operators $K$ we show that the quantity \[\ph:=\log \det (I+K)-\log \det (I-K)\] satisfies both the integrated mKdV hierarchy and the sinh-Gordon hierarchy. This proves a conjecture of Zamolodchikov.
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"abstract": "For a particular class of integral operators $K$ we show that the quantity\n\\[\\ph:=\\log \\det (I+K)-\\log \\det (I-K)\\] satisfies both the integrated mKdV\nhierarchy and the sinh-Gordon hierarchy. This proves a conjecture of\nZamolodchikov.",
"arxiv_id": "solv-int/9506006",
"authors": [
"Craig A. Tracy",
"Harold Widom"
],
"categories": [
"solv-int",
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"math.MP",
"nlin.SI"
],
"doi": "10.1007/BF02103713",
"journal_ref": "Commun. Math. Phys 179 (1996) 1--9",
"title": "Fredholm determinants and the mKdV/sinh-Gordon hierarchies",
"url": "https://arxiv.org/abs/solv-int/9506006"
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