Descendants constructed from matter fields in topological Landau-Ginzburg theories coupled to topological gravity

Abstract

It is argued that gravitational descendants in Landau-Ginsburg theory coupled to topological gravity can be constructed from the matter fields only. For example, ${\sigma }_1(\Phi )=V^{\prime }\int \Phi$. This descendants turn out to be connected with K.Saito higher residue pairing. Naive computaitions are corrected with the help of the contact term, the form of this term is found. k-point correlation functions on a sphere are calculated.

[email protected] and @nbivax.nbi.dk (Talk on the Kiev conference on string theory, June 1992)

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