Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-07-06
JHEP 0509 (2005) 001
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, harvmac, section 5 modified: a relation to (1,n) non-critical bosonic string added
Scientific paper
10.1088/1126-6708/2005/09/001
In this paper we discuss the scattering S-matrix of non-critical N=2 string at tree level. First we consider the \hat{c}<1 string defined by combining the N=2 time-like linear dilaton SCFT with the N=2 Liouville theory. We compute three particle scattering amplitudes explicitly and find that they are actually vanishing. We also find an evidence that this is true for higher amplitudes. Next we analyze another \hat{c}<1 string obtained from the N=2 time-like Liouville theory, which is closely related to the N=2 minimal string. In this case, we find a non-trivial expression for the three point functions. When we consider only chiral primaries, the amplitudes are very similar to those in the (1,n) non-critical bosonic string.
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