Fredholm determinants and the mKdV/sinh-Gordon hierarchies
classification
solv-int
hep-thmath-phmath.MPnlin.SI
keywords
hierarchymkdvsinh-gordonclassconjecturedeterminantsfredholmhierarchies
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.