Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-05-22
JHEP 0109:003,2001
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 5 ps figures, v2:minor corrections(references to the work of FZZ are made more precise)
Scientific paper
10.1088/1126-6708/2001/09/003
We calculate the three-point functions in the sine-Liouville theory explicitly. The same calculation was done in the (unpublished) work of Fateev, Zamolodchikov and Zamolodchikov to check the conjectured duality between the sine-Liouville and the SL(2,R)/U(1) coset CFTs. The evaluation of correlators boils down to that of a free-field theory with a certain number of insertion of screening operators. We prove that the winding number conservation is violated up to (+-)1 in three-point functions, which is in agreement with the result of FZZ that in generic N-point correlators the winding number conservation is violated up to N-2 units. A new integral formula of Dotsenko-Fateev type is derived, using which we write down the generic three-point functions of tachyons explicitly. When the winding number is conserved, the resultant expression is shown to reproduce the correlators in the coset model correctly, including the group-theoretical factor. As an application, we also study the superstring theory on linear dilaton background which is described by super-Liouville theory. We obtain the three-point amplitude of tachyons in which the winding number conservation is violated.
Fukuda Takeshi
Hosomichi Kazuo
No associations
LandOfFree
Three-point Functions in Sine-Liouville Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Three-point Functions in Sine-Liouville Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Three-point Functions in Sine-Liouville Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-354085