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

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dc.creatorDoliwa, Adam
dc.creatorManas, Manuel
dc.creatorAlonso, Luis Martinez
dc.creatorMedina, Elena
dc.creatorSantini, Paolo Maria
dc.date1998-03-20
dc.date.accessioned2026-07-07T10:55:14Z
dc.date.available2026-07-07T10:55:14Z
dc.descriptionWe show that the quantum field theoretical formulation of the $τ$-function theory has a geometrical interpretation within the classical transformation theory of conjugate nets. In particular, we prove that i) the partial charge transformations preserving the neutral sector are Laplace transformations, ii) the basic vertex operators are Levy and adjoint Levy transformations and iii) the diagonal soliton vertex operators generate fundamental transformations. We also show that the bilinear identity for the multicomponent Kadomtsev-Petviashvili hierarchy becomes, through a generalized Miwa map, a bilinear identity for the multidimensional quadrilateral lattice equations.
dc.description28 pages, 3 Postscript figures
dc.identifierhttps://arxiv.org/abs/solv-int/9803015
dc.identifierhttp://arxiv.org/abs/solv-int/9803015
dc.identifierJ.Phys.A32:1197-1216,1999
dc.identifierdoi:10.1088/0305-4470/32/7/010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186055
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleCharged Free Fermions, Vertex Operators and Classical Theory of Conjugate Nets
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