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arXiv · hep-th/9404056

Toda Lattice Hierarchy and the Topological Description of the c=1 String Theory

T. Eguchi·H. Kanno
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Abstract

The Toda lattice hierarchy is discussed in connection with the topological description of the $c=1$ string theory compactified at the self-dual radius. It is shown that when special constraints are imposed on the Toda hierarchy, it reproduces known results of the $c=1$ string theory, in particular the $W_{1+\infty}$ relations among tachyon correlation functions. These constraints are the analogues of string equations in the topological minimal theories. We also point out that at $c=1$ the Landau-Ginzburg superpotential becomes simply a $U(1)$ current operator.

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T. Eguchi, H. Kanno. 1994-04-11. Toda Lattice Hierarchy and the Topological Description of the c=1 String Theory. https://doi.org/10.1016/0370-2693(94)91060-x

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