On differential equation on four-point correlation function in the conformal toda field theory

V. A. Fateev, A. V. Litvinov

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

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 an 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 functions. The result agrees with the semiclassical calculations.

Original languageEnglish
Pages (from-to)594-598
Number of pages5
JournalJETP Letters
Volume81
Issue number11
DOIs
Publication statusPublished - 2005
Externally publishedYes

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