Integrable Supersymmetric Fluid Mechanics from Superstrings
arXiv:physics/0103092 · doi:10.1016/S0375-9601(01)00305-X
Abstract
Following the construction of a model for the planar supersymmetric Chaplygin gas, supersymmetric fluid mechanics in (1+1)-dimensions is obtained from the light-cone parametrized Nambu-Goto superstring in (2+1)-dimensions. The lineal model is completely integrable and can be formulated neatly using Riemann coordinates. Infinite towers of conserved charges and supercharges are exhibited. They form irreducible representations of a dynamical (hidden) SO(2,1) symmetry group.
11 pages, LaTex; typographical errors corrected