Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-07-26
JHEP 0510 (2005) 025
Physics
High Energy Physics
High Energy Physics - Theory
harvmac, 22 pages; v2 typos corrected, version appearing in JHEP
Scientific paper
10.1088/1126-6708/2005/10/025
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-Ribault-Teschner 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)/U(1) coset at level 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.
Nakamura Shin
Niarchos Vasilis
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