{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:POINAHU26I2D6MP52KTSZ4B5XB","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":"59c32826e04d9e7a0466fc0be074331f93bce30720354f9eed9bbc94482b0b1b","cross_cats_sorted":["math.AG","math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-23T21:00:00Z","title_canon_sha256":"9cae4658d5dccf672479251265ad31247dbbe2a1ad9e02a500ba3934f6e51ee9"},"schema_version":"1.0","source":{"id":"1512.07629","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.07629","created_at":"2026-05-18T00:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"1512.07629v4","created_at":"2026-05-18T00:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.07629","created_at":"2026-05-18T00:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"POINAHU26I2D","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"POINAHU26I2D6MP5","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"POINAHU2","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:94840cac7bff0e5a682acc96f986fed3a0b4a2285402defbf28b2fd754b7a7eb","target":"graph","created_at":"2026-05-18T00:22:06Z","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 study the ground states and left-excited states of the A_{k-1} N=(2,0) little string theory. Via a theorem by Atiyah [1], these sectors can be captured by a supersymmetric nonlinear sigma model on CP^1 with target space the based loop group of SU(k). The ground states, described by L^2-cohomology classes, form modules over an affine Lie algebra, while the left-excited states, described by chiral differential operators, form modules over a toroidal Lie algebra. We also apply our results to analyze the 1/2 and 1/4 BPS sectors of the M5-brane worldvolume theory.","authors_text":"Jingnan Cao, Meer Ashwinkumar, Meng-Chwan Tan, Qin Zhao, Yuan Luo","cross_cats":["math.AG","math.QA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-23T21:00:00Z","title":"Little Strings, Quasi-topological Sigma Model on Loop Group, and Toroidal Lie Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07629","kind":"arxiv","version":4},"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":"sha256:5ecc2fb981b55f6e0f650137c9af66635fbbd42d2c1dae4ca06363d1548f66cf","target":"record","created_at":"2026-05-18T00:22:06Z","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":"59c32826e04d9e7a0466fc0be074331f93bce30720354f9eed9bbc94482b0b1b","cross_cats_sorted":["math.AG","math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-23T21:00:00Z","title_canon_sha256":"9cae4658d5dccf672479251265ad31247dbbe2a1ad9e02a500ba3934f6e51ee9"},"schema_version":"1.0","source":{"id":"1512.07629","kind":"arxiv","version":4}},"canonical_sha256":"7b90d01e9af2343f31fdd2a72cf03db845ab03ae3cd4c1e95777b6d0aa9e4e0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b90d01e9af2343f31fdd2a72cf03db845ab03ae3cd4c1e95777b6d0aa9e4e0d","first_computed_at":"2026-05-18T00:22:06.896946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:06.896946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hAOcDIEpzhM1OAqYB/+exoZXmcMwwaFSUx4JG/djZsKgDI0+YvXtyFJvaAahLekw0qlaUZB1OjsumZkouqatCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:06.897415Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.07629","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ecc2fb981b55f6e0f650137c9af66635fbbd42d2c1dae4ca06363d1548f66cf","sha256:94840cac7bff0e5a682acc96f986fed3a0b4a2285402defbf28b2fd754b7a7eb"],"state_sha256":"69ed90a58f8363d49db2079df2e64276ca6a474b57d1a5b70f3a6e9e79ad948e"}