M ar 2 00 6 Notes On The S - Matrix Of Bosonic And Topological Non - Critical Strings

We show that the equivalence between the c = 1 non-critical bosonic string and the N = 2 topologically twisted coset SL(2)/U(1) at level one can be checked very naturally on the level of tree-level scattering amplitudes with the use of the Stoyanovsky-RibaultTeschner map, which recasts H 3 correlation functions in terms of Liouville field theory amplitudes. This observation can be applied equally well to the topologically twisted SL(2)n/U(1) coset with n > 1, which has been argued recently to be equivalent with a c < 1 non-critical bosonic string whose matter part is defined by a time-like linear dilaton CFT.