From Ramond Fermions to Lame Equations for Orthogonal Curvilinear Coordinates

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.

14 pages, LaTeX2e with AMSLaTeX and Babel packages

References in corpus (1)

• Charged Free Fermions, Vertex Operators and Classical Theory of Conjugate Nets

Cited by in corpus (3)

• Gauge transformation and symmetries of the commutative multi-component BKP hierarchy
• BKP and CKP revisited: The odd KP system
• Generating Quadrilateral and Circular Lattices in KP Theory