Anomalies & proton
Inspect the SU(7) bulk anomaly contributions and the boundary matter needed to cancel them; the separate RS experiment studies another model's anomaly flow.
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 to connect a compact anomaly number with the fields that contribute to it. The signed bars help you see why adding a multiplet can increase or decrease the total. The brane construction then asks whether additional boundary matter can cancel the relevant channels while meeting a separate proton-protection condition.
First steps
- Load a named SU(7) content in Hierarchy and return here.
- Read the signed contributions to 8D and the six anomaly channels.
- Check the selected seed before interpreting the displayed rung ladder.
- Follow the brane-matter construction in Escape, or open the separate RS anomaly-flow experiment for its own inputs and assumptions.
Controls and inputs
| Control | Meaning | Try this |
|---|---|---|
| Shared SU(7) bulk model | Supplies the matter multiplicities used by the bars and channel table. Edit it in Hierarchy or load a named row. | Compare two published rows and track which contributions change. |
| Gauge seed and rung information | State the arithmetic convention behind the ladder and the conditional ceiling. | Read the rung parity after changing seed; do not carry a previous impossibility statement across the change. |
| RS anomaly-flow shortcut | Opens an embedded warped-model experiment with its own parameters and outputs. | Use its dedicated guide before comparing UV and IR contributions. |
Reading the results
| Result | Meaning |
|---|---|
| Signed contribution bars | Show how individual multiplets contribute to the displayed anomaly combination, in the stated eighth-unit normalization. |
| Six-channel table | Separates the anomaly conditions that a proposed matter completion must satisfy. Cancellation in one combination is not cancellation in every channel. |
| Rung ladder and brane-construction costs | Relate the arithmetic of the selected bulk content to the boundary assignments examined by the laboratory. |
A nonzero bulk anomaly contribution is an obligation for the complete model to cancel. It is not by itself a final inconsistency verdict when boundary matter is allowed. A forbidden arithmetic rung is a statement under the selected seed's assumptions.
Worked example
Trace an anomaly total back to its content
- Load a published SU(7) row in Hierarchy.
- Read its total and individual bars on this page.
- Change one bulk multiplicity in Hierarchy and return.
- Open Escape to inspect all channels for an explicit boundary assignment.
What to expect: The total is connected to individual contributions, while the completion must be checked channel by channel.
Scope and limitations
- Bulk-only anomaly information does not describe every possible boundary completion.
- An anomaly cancellation calculation does not determine a proton lifetime.
- The RS anomaly-flow experiment is a separate model. Its UV/IR results are not corrections to the SU(7) table.
If something is unclear
A nonzero row seems to contradict a usable model.
Check which fields are included. The bulk subtotal and the complete bulk-plus-boundary ledger answer different questions.
The ladder interpretation changes with the seed.
Read the seed-dependent arithmetic statement and compare only calculations made under matching assumptions.
Terms used here
Sources and attribution
Current instrument guide. Archived editions retain their own scope.
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