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We establish an equivalence between G-invariant solutions A of the Spin(7)-instanton equations on R^2 x G/H and general solutions of non-Abelian coupled vortex equations on R^2. These vortices are BPS solitons in a d=4 gauge theory obtained from N=1 supersymmetric Yang-Mills theory in ten dimensions compactified on the coset space G/H with an"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0908.3055","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-21T10:01:03Z","cross_cats_sorted":[],"title_canon_sha256":"7d2c982f7a5c7e59d09a64b94030df956544fbbaef92b1170b01c5b442290188","abstract_canon_sha256":"1a8e1016a10496fd07749188e3b61ca0f7f75dea0b0a14dba6d3359bf1877530"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:37.581568Z","signature_b64":"zHBf4Bx0bf1o20nR9VM5Xz9n/lZxY+Kk8+kMDFW0N4FsgIgrdD1SvoJHBC8ZSJUEDvaaXT/f1muOwZOzNQmzDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6910b9df767d83a02b7d83f5d6a49b9edccfac671ee2fb616a2e5972595a50f","last_reissued_at":"2026-05-18T02:34:37.580773Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:37.580773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Abelian Vortices, Super-Yang-Mills Theory and Spin(7)-Instantons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexander D. 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