Integrable flows in c=1 string theory

Details Integrable flows in c=1 string theory Integrable flows in c=1 string theory

2002-08-05

arxiv.org/abs/hep-th/0208034v3

J.Phys.A36:3153-3172,2003; AnnalesHenriPoincare4:S825-S849,2003

Physics

High Energy Physics

High Energy Physics - Theory

sect.1 extended and typos corrected

Scientific paper

10.1088/0305-4470/36/12/317

In these notes we review the method to construct integrable deformations of the compactified c=1 bosonic string theory by primary fields (momentum or winding modes), developed recently in collaboration with S. Alexandrov and V. Kazakov. The method is based on the formulation of the string theory as a matrix model. The flows generated by either momentum or winding modes (but not both) are integrable and satisfy the Toda lattice hierarchy.

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