{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:N5YQFYT6H5WUV23KGTCWB4QH3G","short_pith_number":"pith:N5YQFYT6","schema_version":"1.0","canonical_sha256":"6f7102e27e3f6d4aeb6a34c560f207d9b915d42689e5bf3033af4b4898fa3712","source":{"kind":"arxiv","id":"1905.12656","version":1},"attestation_state":"computed","paper":{"title":"Lectures on Dualities in 2+1 Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Carl Turner","submitted_at":"2019-05-29T18:07:11Z","abstract_excerpt":"In this course, we will discuss dualities in 2+1 dimensions. We begin by briefly reviewing the physics of 1+1d T-duality and bosonization, and discuss flux attachment and the dual photon in 2+1d. Then, we introduce 2+1d particle-vortex duality, bosonization and their associated web of dualities. This includes discussing more elaborate Abelian dualities, including self-dual theories and quiver theories. Next, we move on to non-Abelian physics, discussing QCD in three dimensions and more. This done, we will discuss the relation of these dualities to SUSY dualities, lattice physics, and large N p"},"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":"1905.12656","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-29T18:07:11Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"a339119100e3b7a606d13da0e4c22e5d7dfef04ad8f55555802e982d45a94bdd","abstract_canon_sha256":"a0e0ce8cc40ad70436289abc7af88247b8cabd911a78f920241a196a0ffc881a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:38:54.013888Z","signature_b64":"5BqmT5zMyVvWO3yITdvZOG8oIKKUA0rMPvGhe1nFQGJjuTQlYGr+NsDbYLaOKVPpb3Rcw9kbojxWSSY2TC5ABA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f7102e27e3f6d4aeb6a34c560f207d9b915d42689e5bf3033af4b4898fa3712","last_reissued_at":"2026-07-05T00:38:54.013389Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:38:54.013389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lectures on Dualities in 2+1 Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Carl Turner","submitted_at":"2019-05-29T18:07:11Z","abstract_excerpt":"In this course, we will discuss dualities in 2+1 dimensions. We begin by briefly reviewing the physics of 1+1d T-duality and bosonization, and discuss flux attachment and the dual photon in 2+1d. Then, we introduce 2+1d particle-vortex duality, bosonization and their associated web of dualities. This includes discussing more elaborate Abelian dualities, including self-dual theories and quiver theories. Next, we move on to non-Abelian physics, discussing QCD in three dimensions and more. This done, we will discuss the relation of these dualities to SUSY dualities, lattice physics, and large N p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12656","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1905.12656/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1905.12656","created_at":"2026-07-05T00:38:54.013454+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.12656v1","created_at":"2026-07-05T00:38:54.013454+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12656","created_at":"2026-07-05T00:38:54.013454+00:00"},{"alias_kind":"pith_short_12","alias_value":"N5YQFYT6H5WU","created_at":"2026-07-05T00:38:54.013454+00:00"},{"alias_kind":"pith_short_16","alias_value":"N5YQFYT6H5WUV23K","created_at":"2026-07-05T00:38:54.013454+00:00"},{"alias_kind":"pith_short_8","alias_value":"N5YQFYT6","created_at":"2026-07-05T00:38:54.013454+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.05465","citing_title":"Planar Abelian Duals of Chern-Simons QCD","ref_index":10,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/N5YQFYT6H5WUV23KGTCWB4QH3G","json":"https://pith.science/pith/N5YQFYT6H5WUV23KGTCWB4QH3G.json","graph_json":"https://pith.science/api/pith-number/N5YQFYT6H5WUV23KGTCWB4QH3G/graph.json","events_json":"https://pith.science/api/pith-number/N5YQFYT6H5WUV23KGTCWB4QH3G/events.json","paper":"https://pith.science/paper/N5YQFYT6"},"agent_actions":{"view_html":"https://pith.science/pith/N5YQFYT6H5WUV23KGTCWB4QH3G","download_json":"https://pith.science/pith/N5YQFYT6H5WUV23KGTCWB4QH3G.json","view_paper":"https://pith.science/paper/N5YQFYT6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.12656&json=true","fetch_graph":"https://pith.science/api/pith-number/N5YQFYT6H5WUV23KGTCWB4QH3G/graph.json","fetch_events":"https://pith.science/api/pith-number/N5YQFYT6H5WUV23KGTCWB4QH3G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N5YQFYT6H5WUV23KGTCWB4QH3G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N5YQFYT6H5WUV23KGTCWB4QH3G/action/storage_attestation","attest_author":"https://pith.science/pith/N5YQFYT6H5WUV23KGTCWB4QH3G/action/author_attestation","sign_citation":"https://pith.science/pith/N5YQFYT6H5WUV23KGTCWB4QH3G/action/citation_signature","submit_replication":"https://pith.science/pith/N5YQFYT6H5WUV23KGTCWB4QH3G/action/replication_record"}},"created_at":"2026-07-05T00:38:54.013454+00:00","updated_at":"2026-07-05T00:38:54.013454+00:00"}