Gravitational descendants as generators of diffeomorphisms of the target space in topological Landau-Ginzburg gravity

Losev A. , Polyubin I.

Flows on the space of topological Landau-Ginzburg theories coupled to topological gravity have been studied. It is argued that flows corresponding to gravitational descendants change the target space from a complex plane to a punctured complex plane and lead to the motion of punctures. It is shown that the evolution of the topological theory due to these flows is given by dispersionless limit of the KP hierarchy.