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arXiv · 1305.1674

On form factors and Macdonald polynomials

Michael Lashkevich·Yaroslav Pugai
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Abstract

We are developing the algebraic construction for form factors of local operators in the sinh-Gordon theory proposed in [B.Feigin, M.Lashkeivch, 2008]. We show that the operators corresponding to the null vectors in this construction are given by the degenerate Macdonald polynomials with rectangular partitions and the parameters $t=-q$ on the unit circle. We obtain an integral representation for the null vectors and discuss its simple applications.

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Michael Lashkevich, Yaroslav Pugai. 2014-12-23. On form factors and Macdonald polynomials. https://doi.org/10.1007/jhep09(2013)095

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