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In particular, we show that the algebra of functions on the cotangent bundle of the parabolic base affine space of $\\mathrm{GL}_n$ or $\\mathrm{SL}_n$ is finitely generated.\n  We prove this by showing that, if we are given a map $H \\to G$ of complex reductive groups and a representation of $G$ satisfying an assumption we call gluable, then the Coulomb branch for the induced r"},"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":"2501.09962","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-01-17T05:34:42Z","cross_cats_sorted":["math.QA","math.RT"],"title_canon_sha256":"960c6ca8fa4be6a48d58fd833d13f9fd5437affe7e633859018211877a48c39b","abstract_canon_sha256":"96d174cd3f8f4485e15087e7408ed26ae534c133429b6184f4ea0ea107a12d69"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:52:58.803945Z","signature_b64":"yAUGaw0tQcEV+1jon9qoJg8STXHZRaeAQYO3DJU0PuHhEx6NxOQie1/07w1QF26aJei5CpoZxdS//Zv1sSv2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6dd48c0056ee387da91f2a3afbe30b00c91215ab148ebce5f427e62d1aa2e7c9","last_reissued_at":"2026-07-05T11:52:58.803419Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:52:58.803419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Functoriality of Coulomb branches","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA","math.RT"],"primary_cat":"math.AG","authors_text":"Ben Webster, Tom Gannon","submitted_at":"2025-01-17T05:34:42Z","abstract_excerpt":"We prove that the affine closure of the cotangent bundle of the parabolic base affine space for $\\mathrm{GL}_n$ or $\\mathrm{SL}_n$ is a Coulomb branch, which confirms a conjecture of Bourget-Dancer-Grimminger-Hanany-Zhong. 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