Goldstone Modes and Clebsch-Gordan Coefficients

TL;DR

This paper explicitly solves Goldstone modes in supersymmetric models with spontaneous symmetry breaking, revealing identities among Clebsch-Gordan coefficients that serve as consistency checks when multiple fields contribute.

Contribution

It provides explicit solutions for Goldstone modes and uncovers identities among Clebsch-Gordan coefficients in supersymmetric symmetry breaking models.

Findings

Explicit solutions for Goldstone modes.

Identities among Clebsch-Gordan coefficients.

Consistency checks for models with multiple fields.

Abstract

We solve explicitly the Goldstone modes in spontaneously symmetry breaking models with supersymmetry. We find that, when more than one fields or representations contribute to the symmetry breaking, there exist identities among the Clebsch-Gordan coefficients which can be used as consistent checks on the calculations.