Fredholm determinants and the mKdV/sinh-Gordon hierarchies

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, LaTeX file, no figures

Scientific paper

10.1007/BF02103713

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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