Topological Strings, Flat Coordinates and Gravitational Descendants

Details Topological Strings, Flat Coordinates and Gravitational Descendants Topological Strings, Flat Coordinates and Gravitational Descendants

1993-02-12

arxiv.org/abs/hep-th/9302048v1

Phys.Lett. B305 (1993) 235-241

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, phyzzx, UT-630

Scientific paper

10.1016/0370-2693(93)90113-V

We discuss physical spectra and correlation functions of topological minimal models coupled to topological gravity. We first study the BRST formalism of these theories and show that their BRST operator $Q=Q_s+Q_v$ can be brought to $Q_s$ by a certain homotopy operator $U$, $UQU^{-1}=Q_s$ ($Q_s$ and $Q_v$ are the $N=2$ and diffeomorphism BRST operators, respectively). The reparametrization (anti)-ghost $b$ mixes with the supercharge operator $G$ under this transformation. Existence of this transformation enables us to use matter fields to represent cohomology classes of the operator $Q$. We explicitly construct gravitational descendants and show that they generate the higher-order KdV flows. We also evaluate genus-zero correlation functions and rederive basic recursion relations of two-dimensional topological gravity.

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