Second level semi-degenerate fields in W3 Toda theory: matrix element and differential equation

Vladimir Belavin, Xiangyu Cao, Benoit Estienne, Raoul Santachiara

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In a recent study we considered W3 Toda 4-point functions that involve matrix elements of a primary field with the highest-weight in the adjoint representation of sl3. We generalize this result by considering a semi-degenerate primary field, which has one null vector at level two. We obtain a sixth-order Fuchsian differential equation for the conformal blocks. We discuss the presence of multiplicities, the matrix elements and the fusion rules.

Original languageEnglish
Article number8
JournalJournal of High Energy Physics
Volume2017
Issue number3
DOIs
StatePublished - 1 Mar 2017
Externally publishedYes

Keywords

  • Conformal Field Theory
  • Conformal and W Symmetry

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