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In this paper, a formal distribution Lie algebra of $HV$ is constructed. Then the associated conformal algebra $CHV$ is studied, where $CHV$ has a $\\C[\\partial]$-basis $\\{L_i,H_i\\,|\\,i\\in\\Z\\}$ with $\\lambda$-brackets $[L_i\\, {}_\\lambda \\, L_j]=(\\partial+2\\lambda) L_{i+j}, [L_i\\, {}_\\lambda \\, H_j]=(\\partial+\\lambda) H_{i+j}, [H_i\\, {}_\\lambda \\, L_j]=\\lambda L_"},"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":"1408.6678","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-08-28T10:52:35Z","cross_cats_sorted":[],"title_canon_sha256":"c6e0016b86936afd47f4cc6374f455c2297071f6821f8c6289405fb05a56575d","abstract_canon_sha256":"42372cc4b6073097cdc71975b8508f0f5105a5c5dc21f46ac068b5a78ebba445"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:12.315704Z","signature_b64":"Ceqye9jhDObPAIFGXLD/FUMYuO0eZrIrTP2FrTQmFAZFTOMwFKHa9JU7mVtn8xrrff+Q1zD3q3jITH0HrAC3CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f560cd2c6c7c0a9d1dfc47e7dd87c4334d3900ae6d8acc21f9e54cf29595514","last_reissued_at":"2026-05-18T01:42:12.315041Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:12.315041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Loop Heisenberg-Virasoro Lie Conformal algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Guangzhe Fan, Henan Wu, Yucai Su","submitted_at":"2014-08-28T10:52:35Z","abstract_excerpt":"Let $HV$ be the loop Heisenberg-Virasoro Lie algebra over $\\C$ with basis $\\{L_{\\a,i},H_{\\b,j}\\,|\\,\\a,\\,\\b,i,j\\in\\Z\\}$ and brackets $[L_{\\a,i},L_{\\b,j}]=(\\a-\\b)L_{\\a+\\b,i+j}, [L_{\\a,i},H_{\\b,j}]=-\\b H_{\\a+\\b,i+j},[H_{\\a,i},H_{\\b,j}]=0$. In this paper, a formal distribution Lie algebra of $HV$ is constructed. Then the associated conformal algebra $CHV$ is studied, where $CHV$ has a $\\C[\\partial]$-basis $\\{L_i,H_i\\,|\\,i\\in\\Z\\}$ with $\\lambda$-brackets $[L_i\\, {}_\\lambda \\, L_j]=(\\partial+2\\lambda) L_{i+j}, [L_i\\, {}_\\lambda \\, H_j]=(\\partial+\\lambda) H_{i+j}, [H_i\\, {}_\\lambda \\, L_j]=\\lambda L_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6678","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1408.6678","created_at":"2026-05-18T01:42:12.315115+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.6678v1","created_at":"2026-05-18T01:42:12.315115+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6678","created_at":"2026-05-18T01:42:12.315115+00:00"},{"alias_kind":"pith_short_12","alias_value":"L5LAZUWGY7AK","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"L5LAZUWGY7AKTUO7","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"L5LAZUWG","created_at":"2026-05-18T12:28:35.611951+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/L5LAZUWGY7AKTUO7YR7H3WD4IM","json":"https://pith.science/pith/L5LAZUWGY7AKTUO7YR7H3WD4IM.json","graph_json":"https://pith.science/api/pith-number/L5LAZUWGY7AKTUO7YR7H3WD4IM/graph.json","events_json":"https://pith.science/api/pith-number/L5LAZUWGY7AKTUO7YR7H3WD4IM/events.json","paper":"https://pith.science/paper/L5LAZUWG"},"agent_actions":{"view_html":"https://pith.science/pith/L5LAZUWGY7AKTUO7YR7H3WD4IM","download_json":"https://pith.science/pith/L5LAZUWGY7AKTUO7YR7H3WD4IM.json","view_paper":"https://pith.science/paper/L5LAZUWG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.6678&json=true","fetch_graph":"https://pith.science/api/pith-number/L5LAZUWGY7AKTUO7YR7H3WD4IM/graph.json","fetch_events":"https://pith.science/api/pith-number/L5LAZUWGY7AKTUO7YR7H3WD4IM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L5LAZUWGY7AKTUO7YR7H3WD4IM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L5LAZUWGY7AKTUO7YR7H3WD4IM/action/storage_attestation","attest_author":"https://pith.science/pith/L5LAZUWGY7AKTUO7YR7H3WD4IM/action/author_attestation","sign_citation":"https://pith.science/pith/L5LAZUWGY7AKTUO7YR7H3WD4IM/action/citation_signature","submit_replication":"https://pith.science/pith/L5LAZUWGY7AKTUO7YR7H3WD4IM/action/replication_record"}},"created_at":"2026-05-18T01:42:12.315115+00:00","updated_at":"2026-05-18T01:42:12.315115+00:00"}