On differential equation on four-point correlation function in the Conformal Toda Field Theory

Details On differential equation on four-point correlation function in the Conformal Toda Field Theory On differential equation on four-point correlation function in the Conformal Toda Field Theory

2005-05-13

arxiv.org/abs/hep-th/0505120v1

JETP Lett. 81 (2005) 594-598; Pisma Zh.Eksp.Teor.Fiz. 81 (2005) 728-732

Physics

High Energy Physics

High Energy Physics - Theory

5 pages

Scientific paper

10.1134/1.2029952

The properties of completely degenerate fields in the Conformal Toda Field Theory are studied. It is shown that a generic four-point correlation function that contains only one such field does not satisfy ordinary differential equation in contrast to the Liouville Field Theory. Some additional assumptions for other fields are required. Under these assumptions we write such a differential equation and solve it explicitly. We use the fusion properties of the operator algebra to derive a special set of three-point correlation function. The result agrees with the semiclassical calculations.

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