The correlation functions of the $(D_{4},A_{6})$ conformal model

TL;DR

This paper analyzes the operator content of the $(D_{4},A_{6})$ conformal algebra, constructing fusion rules and solving bootstrap equations to determine structure constants, advancing understanding of this specific conformal model.

Contribution

It introduces a method to derive structure constants of the $(D_{4},A_{6})$ conformal algebra by constructing $Z_{2}$-invariant fusion rules and solving bootstrap equations.

Findings

Determined the structure constants of the $(D_{4},A_{6})$ conformal algebra.

Constructed $Z_{2}$-invariant fusion rules for a subalgebra.

Resolved bootstrap equations consistent with the fusion rules.

Abstract

In this work, we exploit the operator content of the $(D_{4}, A_{6})$ conformal algebra. By constructing a $Z_{2}$-invariants fusion rules of a chosen subalgebra and by resolving the bootstrap equations consistent with these rules, we determine the structure constants of the subalgebra.