On form factors and Macdonald polynomials
High Energy Physics - Theory
2015-06-15 v5 Mathematical Physics
math.MP
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 on the unit circle. We obtain an integral representation for the null vectors and discuss its simple applications.
Cite
@article{arxiv.1305.1674,
title = {On form factors and Macdonald polynomials},
author = {Michael Lashkevich and Yaroslav Pugai},
journal= {arXiv preprint arXiv:1305.1674},
year = {2015}
}
Comments
13 pages; v2: eq. (4.1) corrected; v3: minor corrections, references added; v4: eq. (2.6) and the last equation of sect. 5 corrected; references updated; more minor corrections; v5: eq. (4.1) corrected again