Escape from proton decay
Construct the supported SU(7) boundary-matter assignments and check their anomaly cancellation and proton-protection selection rules separately.
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 when you want to see how a boundary completion can cancel the bulk contribution while restricting dangerous operators. The tool makes the charges and assignments explicit so that a successful label can be traced back to a concrete choice.
First steps
- Start with a listed assignment so its rung and charge conventions are explicit.
- Change the rung choices, X_Q or q_φ one at a time.
- Read every anomaly channel, then the allowed-operator and residual-symmetry information.
- Compare the result with the selected bulk model's required anomaly cancellation.
Controls and inputs
| Control | Meaning | Try this |
|---|---|---|
| Rung choices | Select the boundary assignment in the displayed charge lattice. | Load one of the twenty listed assignments before editing its rungs. |
| X_Q and q_φ | Charge parameters entering the anomaly conditions and the selection rule. Use the exact rational conventions shown by the panel. | Change one charge and compare the anomaly table with the operator verdict. |
| Rung cube | A view of the assignment space and where the protection condition changes. | Rotate it, then select a listed assignment to inspect its numbers. |
Reading the results
| Result | Meaning |
|---|---|
| Six anomaly channels | Exact rational contributions for the supported content. Check every channel rather than only a displayed total. |
| Selection rule and residual group | Identify which supported operators the charge assignment permits or forbids. |
| Boundary contribution against the bulk | Shows whether this completion supplies the cancellation required by the current bulk input. |
Cancellation and operator protection are separate tests within the implemented assignment family. A protected operator pattern is not a calculated proton lifetime, and enumerating this family does not classify every possible completion.
Worked example
Separate cancellation from protection
- Load a listed assignment and record both verdicts.
- Change a rung or charge.
- Read which channel or operator condition changed.
- Restore the assignment and verify that the original two conclusions return.
What to expect: You can explain a verdict from the charge and channel tables rather than relying on its colour.
Scope and limitations
- The enumeration concerns the implemented assignment family and operator tests.
- No proton decay rate, hadronic matrix element or experimental lifetime likelihood is evaluated here.
- A complete model may need additional matter and interaction checks beyond these conditions.
If something is unclear
Cancellation succeeds but protection changes.
Read the operator selection rule separately; an anomaly condition does not determine every allowed interaction.
The boundary contribution does not match the bulk.
Confirm the selected SU(7) content and seed, then compare channel signs and charge normalization.
Terms used here
Sources and attribution
Current instrument guide. Archived editions retain their own scope.
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