# LIB2-096 — The available compact part is too small for compact colour

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.253)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

In the split-real loaded subimage of Appendix N, maximal compact dimension 6 is smaller than dim su(3) = 8, obstructing a compact-colour embedding in that available compact part.

## Caution

This real-form obstruction does not ban compact colour in other carriers or derive the choice of the physical real form.

## Primary source

Appendix N, §2, Proposition 2.1: compact-colour obstruction, PDF p.266: "The compact colour algebra su(3) (dimension 8) cannot embed in the compact part available to the loaded subimage, whose maximal compact dimension is 6 < 8."

## Machine

- url: /library-v2/LIB2-096/
- content_sha256: 7c46f5d037275bc74cbc529ac853d31303631163d743c033d94810234ebc074a
- candidate_ids: C2-038

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP