For authors
Submission status

Archive (English)
   Volumes 61-80
   Volumes 41-60
   Volumes 21-40
   Volumes 1-20
   Volumes 81-92
      Volume 92
      Volume 91
      Volume 90
      Volume 89
      Volume 88
      Volume 87
      Volume 86
      Volume 85
      Volume 84
      Volume 83
      Volume 82
      Volume 81
VOLUME 81 | ISSUE 11 | PAGE 728
On differential equation on four-point correlation function in the Conformal Toda Field Theory
V. A. Fateev+*, A. V. Litvinov+
+L. D. Landau Institute for Theoretical Physics RAS, 142432 Chernogolovka, Russia
*Laboratoire de Physique Théorique et Astroparticules, Université Montpelier II, Pl.E. Bataillon, 34095 Montpelier, France

PACS: 11.25.Hf
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.

Download PS file (GZipped, 69.3K)  |  Download PDF file (186.5K)