Form factors of descendant operators: reduction to perturbed M (2 , 2 s + 1) models
Abstract
In the framework of the algebraic approach to form factors in twodimensional integrable models of quantum field theory we consider the reduction of the sineGordon model to the Φ_{13}perturbation of minimal conformal models of the M (2 , 2 s + 1) series. We find in an algebraic form the condition of compatibility of local operators with the reduction. We propose a construction that make it possible to obtain reduction compatible local operators in terms of screening currents. As an application we obtain exact multiparticle form factors for the compatible with the reduction conserved currents T _{±2 k }, Θ_{±(2 k2)}, which correspond to the spin ±(2 k  1) integrals of motion, for any positive integer k. Furthermore, we obtain all form factors of the operators T _{2 k } T _{2 l }, which generalize the famous operator. The construction is analytic in the s parameter and, therefore, makes sense in the sineGordon theory.
 Publication:

Journal of High Energy Physics
 Pub Date:
 April 2015
 DOI:
 10.1007/JHEP04(2015)126
 arXiv:
 arXiv:1412.7509
 Bibcode:
 2015JHEP...04..126L
 Keywords:

 Integrable Field Theories;
 Exact SMatrix;
 Quantum Groups;
 High Energy Physics  Theory;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 25 pages