{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:NIVM6HDE5BSDZ2MJRIG5E6QW7T","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8c5860a81f5a99b9b9bdb571bd6ad5948d84405b5cecac4aabfabaa080cf8289","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-05-28T18:43:28Z","title_canon_sha256":"c353eea3220c01a89b82056cd6a8c7838269992ddeb4c108d2ec81d171f341e5"},"schema_version":"1.0","source":{"id":"0805.4363","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.4363","created_at":"2026-05-18T02:35:22Z"},{"alias_kind":"arxiv_version","alias_value":"0805.4363v3","created_at":"2026-05-18T02:35:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.4363","created_at":"2026-05-18T02:35:22Z"},{"alias_kind":"pith_short_12","alias_value":"NIVM6HDE5BSD","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"NIVM6HDE5BSDZ2MJ","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"NIVM6HDE","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:1c35465433dee3c6176f12f3cd3604c718c88f55531f9ec065761fca88c38a71","target":"graph","created_at":"2026-05-18T02:35:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We classify Lie 3-algebras possessing an invariant lorentzian inner product. The indecomposable objects are in one-to-one correspondence with compact real forms of metric semisimple Lie algebras. We analyse the moduli space of classical vacua of the Bagger-Lambert theory corresponding to these Lie 3-algebras. We establish a one-to-one correspondence between one branch of the moduli space and compact riemannian symmetric spaces. We analyse the asymptotic behaviour of the moduli space and identify a large class of models with moduli branches exhibiting the desired N^{3/2} behaviour.","authors_text":"Elena M\\'endez-Escobar, Jos\\'e Figueroa-O'Farrill, Paul de Medeiros","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-05-28T18:43:28Z","title":"Lorentzian Lie 3-algebras and their Bagger-Lambert moduli space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.4363","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:45bc565619b96492f324c785b5d5ef0dc97f47136603576ff2ab03bf37f36720","target":"record","created_at":"2026-05-18T02:35:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8c5860a81f5a99b9b9bdb571bd6ad5948d84405b5cecac4aabfabaa080cf8289","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-05-28T18:43:28Z","title_canon_sha256":"c353eea3220c01a89b82056cd6a8c7838269992ddeb4c108d2ec81d171f341e5"},"schema_version":"1.0","source":{"id":"0805.4363","kind":"arxiv","version":3}},"canonical_sha256":"6a2acf1c64e8643ce9898a0dd27a16fcf17368f1775e0bf338e51e214e16b4c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a2acf1c64e8643ce9898a0dd27a16fcf17368f1775e0bf338e51e214e16b4c7","first_computed_at":"2026-05-18T02:35:22.121019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:22.121019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VocYM8xPRoeEylT77E9iiwf1qFO5AqF+jAqFBcOMww9eLc/BJN4GntlmVdmzw9e1Z7A0cAUqI4c1rsgv7EVIAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:22.121463Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.4363","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45bc565619b96492f324c785b5d5ef0dc97f47136603576ff2ab03bf37f36720","sha256:1c35465433dee3c6176f12f3cd3604c718c88f55531f9ec065761fca88c38a71"],"state_sha256":"64953e5aa6aac33ffb0fbf25cc9c72c670fbba65761fbfeefe97cc2c52113b0e"}