The supersymmetric Ruijsenaars-Schneider model
High Energy Physics - Theory
2015-04-01 v2 Mathematical Physics
math.MP
Abstract
An integrable supersymmetric generalization of the trigonometric Ruijsenaars-Schneider model is presented whose symmetry algebra includes the super Poincar\'e algebra. Moreover, its Hamiltonian is showed to be diagonalized by the recently introduced Macdonald superpolynomials. Somewhat surprisingly, the consistency of the scalar product forces the discreteness of the Hilbert space.
Cite
@article{arxiv.1403.4667,
title = {The supersymmetric Ruijsenaars-Schneider model},
author = {Olivier Blondeau-Fournier and Patrick Desrosiers and Pierre Mathieu},
journal= {arXiv preprint arXiv:1403.4667},
year = {2015}
}
Comments
v1: 11 pages, 1 figure. v2: new format, 5 pages, short section added at the end of the article addressing the problem of consistency of the scalar product (e.g., positivity of the weight functions and the normalization of the ground state wave function). To appear in Physical Review Letters