Abstract
Abstract
$$ \mathcal{N} $$
N
= 2 supersymmetric extensions of both the periodic and non-periodic relativistic Toda lattice are built within the framework of the Hamiltonian formalism. A geodesic description in terms of a non-metric connection is discussed.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference14 articles.
1. S.N.M. Ruijsenaars and H. Schneider, A New Class of Integrable Systems and Its Relation to Solitons, Annals Phys.
170 (1986) 370 [INSPIRE].
2. S. Ruijsenaars, Relativistic Toda systems, Commun. Math. Phys.
133 (1990) 217.
3. A. Galajinsky, Higher rank Killing tensors and Calogero model, Phys. Rev.
D 85 (2012) 085002 [arXiv:1201.3085] [INSPIRE].
4. M. Cariglia and G. Gibbons, Generalised Eisenhart lift of the Toda chain, J. Math. Phys.
55 (2014) 022701 [arXiv:1312.2019] [INSPIRE].
5. J. Arnlind, M. Bordemann, J. Hoppe and C. Lee, Goldfish geodesics and Hamiltonian reduction of matrix dynamics, Lett. Math. Phys.
84 (2008) 89 [math-ph/0702091].
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献