Maru–Nago SU(6): families and the Wilson minimum
Reproduce the supported Type 2 / Type 3 bulk Wilson potential and compare its minimum with the published table and an independent infinite-sum calculation.
Control names are kept as they appear in the application. Start with a reference, change one input at a time, and retain the assumptions with your result.
What this tool is for
Use this worked literature example to connect matter content, a calculable Wilson potential and its numerical minimum. The source equations remain attributed to Maru and Nago; the laboratory supplies an implementation and independent checks.
First steps
- Choose the number of Type 3 generations and adjoint copies.
- Compare the full potential and the magnified minimum.
- Increase the Fourier cutoff and inspect convergence.
- Load the supported bulk content into the builder if you want to inspect its spectrum.
Controls and inputs
| Control | Meaning | Try this |
|---|---|---|
| Type 3 generations k₃ | An integer from 0 to 3; k₂ = 3 − k₃ and k₁ = 0. | Compare k₃ = 0 and k₃ = 3 at fixed adjoint content. |
| Adjoint Dirac copies | Changes the supported bulk contribution to the potential. | Change one copy and follow the minimum. |
| Fourier terms | Numerical truncation of the winding sum. | Increase it before interpreting small differences in α. |
Reading the results
| Result | Meaning |
|---|---|
| Minimum and convergence table | The selected finite-sum minimum, stored paper comparison where available, and independent infinite-sum reference. |
| Builder transfer | Transfers supported bulk-potential content, retaining Wilson-blind singlets in the model record. |
The difference from a published decimal is a numerical comparison. The authors’ truncation procedure is not established, so this alone does not identify an error in the paper.
Worked example
Check a quoted minimum
- Restore k₃ = 3 and five adjoint copies.
- Read the published and independent reference values.
- Increase the Fourier terms and compare the minimum again.
What to expect: Convergence clarifies the numerical discrepancy without establishing the paper’s original numerical procedure.
Scope and limitations
- This is a bulk-potential comparison, not a complete phenomenological viability test.
- Brane terms needed to lift exotic adjoint zero modes require additional input.
- A matching minimum does not establish a realistic Higgs mass or flavour sector.
If something is unclear
No published comparison is shown.
The chosen matter content may have no stored Table 2 entry; use the convergence test and source equations.
Sources and attribution
Current instrument guide. Archived editions retain their own scope.
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