On form factors and Macdonald polynomials
Abstract
We are developing the algebraic construction for form factors of local operators in the sinhGordon theory proposed in [1]. 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 September 2013
 DOI:
 10.1007/JHEP09(2013)095
 arXiv:
 arXiv:1305.1674
 Bibcode:
 2013JHEP...09..095L
 Keywords:

 Integrable Field Theories;
 Quantum Groups;
 Exact SMatrix;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 13 pages