Fredholm determinants and the mKdV/sinh-Gordon hierarchies
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Fredholm determinants and the mKdV/sinh-Gordon hierarchies

  • Author(s): Tracy, Craig A.
  • Widom, Harold
  • et al.

Published Web Location

https://arxiv.org/pdf/solv-int/9506006.pdf
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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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