More on coupling coefficients for the most degenerate representations of SO(n)

TL;DR

This paper derives explicit formulas for a key group-theoretical factor related to high-temperature expansions in SO(n)-symmetric lattice models, focusing on the most degenerate representations and their connection to 6j-symbols.

Contribution

It provides the first explicit closed-form expressions for these coupling coefficients for the most degenerate SO(n) representations.

Findings

Explicit formulas for coupling coefficients derived

Connections established with 6j-symbols for SO(n)

Enhances analytical tools for high-temperature expansions

Abstract

We present explicit closed-form expressions for the general group-theoretical factor appearing in the alpha-topology of a high-temperature expansion of SO(n)-symmetric lattice models. This object, which is closely related to 6j-symbols for the most degenerate representation of SO(n), is discussed in detail.