Integrable flows in c=1 string theory

Abstract

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.

sect.1 extended and typos corrected

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Cited by in corpus (14)

• Long strings in two dimensional string theory and non-singlets in the matrix model
• Flux-vacua in Two Dimensional String Theory
• Boundary Ground Ring in 2D String Theory
• Topological B-Model, Matrix Models, $\hat{c}=1$ Strings and Quiver Gauge Theories
• Conifold geometries, topological strings and multi-matrix models
• Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model
• Matrix Model and Time-like Linear Dilaton Matter
• Scattering of Long Folded Strings and Mixed Correlators in the Two-Matrix Model
• Tachyon Backgrounds in 2D String Theory
• On Tachyon condensation and open-closed duality in the c=1 string theory
• Long Strings and Chiral Non-Singlets in Matrix Quantum Mechanics
• Open/closed duality for FZZT branes in c=1
• Condensing Momentum Modes in 2-d 0A String Theory with Flux
• Integrable Deformations of $\hat{c}=1$ Strings in Flux Backgrounds