{"paper":{"title":"Higher Connection in Open String Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Open string field theory admits a 2-form connection on its space of classical solutions that produces new gauge-invariant observables.","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yichul Choi","submitted_at":"2026-02-14T06:35:33Z","abstract_excerpt":"We define a 2-form connection in the space of classical solutions of the bosonic open string field theory, using the open string star product and integration. The corresponding higher holonomies and the 3-form curvature are new observables invariant under the infinite-dimensional gauge algebra of open string field theory. The definition is analogous to that of Berry phase in quantum mechanics and is motivated by recent studies on higher Berry phase in condensed matter physics and quantum field theory. We suggest identifying this 2-form connection with the Kalb-Ramond $B$-field of the closed st"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We define a 2-form connection in the space of classical solutions of the bosonic open string field theory, using the open string star product and integration. The corresponding higher holonomies and the 3-form curvature are new observables invariant under the infinite-dimensional gauge algebra of open string field theory.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that the defined 2-form connection is well-defined and non-trivial on the space of classical solutions, and that it can be identified with the Kalb-Ramond B-field at least in favorable situations.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A 2-form connection is defined in the space of open string field theory solutions, producing invariant higher holonomies and 3-form curvature potentially corresponding to the B-field.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Open string field theory admits a 2-form connection on its space of classical solutions that produces new gauge-invariant observables.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"ef860941018b49e7d321d2a36e9a2f41500fc7f365bb7736dc190084a28cb291"},"source":{"id":"2602.13627","kind":"arxiv","version":3},"verdict":{"id":"7fb03f43-82f5-45b1-a739-f5a5cd1b4f04","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T22:53:23.680098Z","strongest_claim":"We define a 2-form connection in the space of classical solutions of the bosonic open string field theory, using the open string star product and integration. The corresponding higher holonomies and the 3-form curvature are new observables invariant under the infinite-dimensional gauge algebra of open string field theory.","one_line_summary":"A 2-form connection is defined in the space of open string field theory solutions, producing invariant higher holonomies and 3-form curvature potentially corresponding to the B-field.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that the defined 2-form connection is well-defined and non-trivial on the space of classical solutions, and that it can be identified with the Kalb-Ramond B-field at least in favorable situations.","pith_extraction_headline":"Open string field theory admits a 2-form connection on its space of classical solutions that produces new gauge-invariant observables."},"references":{"count":145,"sample":[{"doi":"","year":2013,"title":"Reading betwe en the lines of four- dimensional gauge theories","work_id":"41ca990d-77b4-47ff-a4eb-de6da006ba2c","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2002,"title":"TFT construction of RCFT correlators I: Partition functions","work_id":"0f0e1d88-f90f-464d-ba0e-03f32c85b4f4","ref_index":2,"cited_arxiv_id":"hep-th/0204148","is_internal_anchor":true},{"doi":"","year":2004,"title":"TFT construction of RCFT correlators II: Unoriented world sheets","work_id":"fa9eaeab-5082-44ea-bd79-05f10bf3eff9","ref_index":3,"cited_arxiv_id":"hep-th/0306164","is_internal_anchor":true},{"doi":"","year":2004,"title":"TFT construction of RCFT correlators III: Simple currents","work_id":"9217bd1d-8d9a-4eed-92c1-be698b38d4da","ref_index":4,"cited_arxiv_id":"hep-th/0403157","is_internal_anchor":true},{"doi":"","year":2005,"title":"TFT construction of RCFT correlators IV: Structure constants and correlation functions","work_id":"1de98a25-25e6-4273-bad2-3549363f2694","ref_index":5,"cited_arxiv_id":"hep-th/0412290","is_internal_anchor":true}],"resolved_work":145,"snapshot_sha256":"f885ea02f279dbb239a67f2c4ebef8f9d411daf2294b026332a6798671fe09ae","internal_anchors":47},"formal_canon":{"evidence_count":1,"snapshot_sha256":"1e7e0efdabbd0c3c72d3da2c8b7f7de123d587202e9c5d3f7b5a5659d8150d55"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}