Supersymmetric integrable systems from geodesic flows on superconformal groups

Abstract

We discuss the possible relationship between geodesic flow, integrability and supersymmetry, using fermionic extensions of the KdV equation, as well as the recently introduced supersymmetrisation of the Camassa-Holm equation, as illustrative examples.

6 pages, latex

References in corpus (2)

• The supersymmetric Camassa-Holm equation and geodesic flow on the superconformal group
• Deconstructing Supersymmetry