On the string equation at $c=1$

Abstract

The analogue of the string equation which specifies the partition function of $c=1$ string with a compactification radius $β\in \mbox{$\bf{Z}$}_{\geq 1} $ is described in the framework of the Toda lattice hierarchy.

17pp,INS-Rep.1043, to appear in Mod.Phys.Lett.A, Some modifications have been performed from the view of the double scaled field theory.And also the relation with the classical (genus 0) results is described

Cited by in corpus (6)

• Time-dependent backgrounds of 2D string theory
• Toda Lattice Hierarchy and Generalized String Equations
• Quantum and Classical Aspects of Deformed $c=1$ Strings.
• String Equation for String Theory on a Circle
• Topological Strings with Scaling Violation and Toda Lattice Hierarchy
• Symmetries and reductions on the noncommutative Kadomtsev-Petviashvili and Gelfand-Dickey hierarchies