Integrable Supersymmetric Fluid Mechanics from Superstrings

Physics – Fluid Dynamics

Scientific paper

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11 pages, LaTex; typographical errors corrected

Scientific paper

10.1016/S0375-9601(01)00305-X

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.

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