English

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

High Energy Physics - Theory 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0401216,
  title  = {The Green's Function of the Supersymmetric D=1 Heat Equation},
  author = {S. Andrea and A. Restuccia and A. Sotomayor},
  journal= {arXiv preprint arXiv:hep-th/0401216},
  year   = {2007}
}

Comments

16 pages on Latex