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Domain Walls from $Σ(36 \times 3)$, $Δ(54)$ and $Δ(27)$ potentials

Gonçalo Barreto, Ivo de Medeiros Varzielas, Ye-Ling Zhou

Abstract

We consider the degenerate minima arising from scalar potentials invariant under $Σ(36\times 3)$, or under its subgroups $Δ(54)$ and $Δ(27)$ (with or without imposed CP symmetries), for a triplet of those symmetries. In this framework, we classify the distinct Domain Walls between the degenerate minima and calculate the respective tensions.

Domain Walls from $Σ(36 \times 3)$, $Δ(54)$ and $Δ(27)$ potentials

Abstract

We consider the degenerate minima arising from scalar potentials invariant under , or under its subgroups and (with or without imposed CP symmetries), for a triplet of those symmetries. In this framework, we classify the distinct Domain Walls between the degenerate minima and calculate the respective tensions.
Paper Structure (13 sections, 10 equations, 5 figures, 5 tables)

This paper contains 13 sections, 10 equations, 5 figures, 5 tables.

Table of Contents

  1. Introduction
  2. $\Sigma(36\times 3)$, $\Delta(54)$ and $\Delta(27)$ potentials
  3. Generators
  4. CP Symmetries
  5. Potentials
  6. Minima
  7. Domain Walls
  8. $\Delta(54)$
  9. $\Delta(54)$ with trivial CP $S_0$
  10. $\Delta(54)$ with $S_2$ CP symmetry
  11. $\Delta(54)$ with $S_3$ CP symmetry
  12. $\Sigma(36 \times 3)$
  13. Conclusion

Figures (5)

  • Figure 1: Scheme of the DWs in the different alignments for the $\Delta(54)$ without CP symmetries.
  • Figure 2: Scheme of the DWs in the different alignments for the $\Delta(54)$ with trivial CP case.
  • Figure 3: Scheme of the DWs in the different alignments for the $\Delta(54)$ with $S_2$ CP symmetry.
  • Figure 4: Scheme of the DWs in the different alignments for the $\Delta(54)$ with $S_3$ CP symmetry.
  • Figure 5: Scheme of the DWs in the different alignments for the $\Sigma(36 \times 3)$ case.