Topological 2D String Theory: Higher-genus Amplitudes and W-infinity Identities

Abstract

We investigate Landau-Ginzburg string theory with the singular superpotential X^{-1} on arbitrary Riemann surfaces. This theory, which is a topological version of the c=1 string at the self-dual radius, is solved using results from intersection theory and from the analysis of matter Landau-Ginzburg systems, and consistency requirements. Higher-genus amplitudes decompose as a sum of contributions from the bulk and the boundary of moduli space. These amplitudes generate the W-infinity algebra.

harvmac, 20 pages in `b' option. Revised version has some Comments added and minor notational modifications for improved clarity

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• Deformed Topological Partition Function and Nekrasov Backgrounds
• The Topological Matrix Model Of c=1 String
• Gribov horizon, contact terms and Čech- De Rham cohomology in 2D topological gravity
• Liouville D-branes in Two-Dimensional Strings and Open String Field Theory
• Notes on a singular Landau-Ginzburg family
• ON TOPOLOGICAL $2D$ STRING AND INTERSECTION THEORY
• Noncritical-Topological Correspondence: Disc Amplitudes and Noncompact Branes