N=2 supersymmetric extensions of relativistic Toda lattice

Abstract

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.

v2: 10 pages, concluding section extended, two refs. added, the version to appear in JHEP

References in corpus (3)

• The supersymmetric Ruijsenaars-Schneider model
• Goldfish geodesics and Hamiltonian reduction of matrix dynamics
• Supersymmetric many-body Euler-Calogero-Moser model