The Green's Function of the Supersymmetric D=1 Heat Equation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages on Latex

Scientific paper

A rigorous treatment is given of the Green's function of the N=1
supersymmetric heat equation in one spatial dimension with a distribution
initial value. The asymptotic expansion of the supersymmetric Green's function
as t tends to 0+ is also derived. The coefficients of the expansion generate
all the members of the supersymmetric N=1 KdV hierarchy.

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