Integrability properties of Motzkin polynomials
Abstract
We consider a Hamiltonian system which has its origin in a generalization of exact renormalization group flow of matrix scalar field theory and describes a nonlinear generalization of the shockwave equation that is known to be integrable. Analyzing conserved currents of the system the letter shows, that these follow a nice pattern governed by coefficients of Motzkin polynomials, where each integral of motion corresponds to a path on a unit lattice.
 Publication:

arXiv eprints
 Pub Date:
 June 2017
 arXiv:
 arXiv:1706.00197
 Bibcode:
 2017arXiv170600197G
 Keywords:

 High Energy Physics  Theory
 EPrint:
 v2. the part on the renormalization group flow has been removed since it was incorrect