Second level semi-degenerate fields in W3 Toda theory: matrix element and differential equation
High Energy Physics - Theory
2017-03-08 v2
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.
Keywords
Cite
@article{arxiv.1610.07993,
title = {Second level semi-degenerate fields in W3 Toda theory: matrix element and differential equation},
author = {Vladimir Belavin and Xiangyu Cao and Benoit Estienne and Raoul Santachiara},
journal= {arXiv preprint arXiv:1610.07993},
year = {2017}
}
Comments
22 pages. Published JHEP version: Typos corrected, references added. Section 5.2.3 added