From Ramond Fermions to Lame Equations for Orthogonal Curvilinear Coordinates

Manuel Manas; Luis Martinez Alonso

doi:10.1016/S0370-2693(98)00851-X

From Ramond Fermions to Lame Equations for Orthogonal Curvilinear Coordinates

solv-int 2009-10-31 v1 High Energy Physics - Theory Mathematical Physics Differential Geometry math.MP Exactly Solvable and Integrable Systems

Authors: Manuel Manas , Luis Martinez Alonso

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Abstract

We show how Ramond free neutral Fermi fields lead to a $\tau$ -function theory of BKP type which describes iso-orthogonal deformations of systems of ortogonal curvilinear coordinates. We also provide a vertex operator representation for the classical Ribaucour transformation.

Keywords

ramond fermi fields bkp hierarchy orthogonal curvilinear coordinates tau-function ribaucour transformation vertex operator

Cite

@article{arxiv.solv-int/9805010,
  title  = {From Ramond Fermions to Lame Equations for Orthogonal Curvilinear Coordinates},
  author = {Manuel Manas and Luis Martinez Alonso},
  journal= {arXiv preprint arXiv:solv-int/9805010},
  year   = {2009}
}

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14 pages, LaTeX2e with AMSLaTeX and Babel packages

From Ramond Fermions to Lame Equations for Orthogonal Curvilinear Coordinates

Abstract

Keywords

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