Unitarity Relations in c=1 Liouville Theory

Details Unitarity Relations in c=1 Liouville Theory Unitarity Relations in c=1 Liouville Theory

1992-04-24

arxiv.org/abs/hep-th/9204084v1

Mod. Phys. Lett. A7 (1992) 2647-2657

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 3 figures (not included), phyzzx

Scientific paper

We consider the S-matrix of c=1 Liouville theory with vanishing cosmological constant. We examine some of the constraints imposed by unitarity. These completely determine (N,2) amplitudes at tree level in terms of the (N,1) amplitudes when the plus tachyon momenta take generic values. A surprising feature of the matrix model results is the lack of particle creation branch cuts in the higher genus amplitudes. In fact, we show the naive field theory limit of Liouville theory would predict such branch cuts. However, unitarity in the full string theory ensures that such cuts do not appear in genus one (N,1) amplitudes. We conclude with some comments about the genus one (N,2) amplitudes.

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