{"paper":{"title":"Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The postulate that charge quantization is governed by a homotopy type implies swampland-type constraints on quantum field theories and requires contractible charge spaces in quantum gravity.","cross_cats":["math-ph","math.AT","math.MP"],"primary_cat":"hep-th","authors_text":"Hyungrok Kim, Luigi Alfonsi, William G. A. Luciani","submitted_at":"2026-04-24T15:30:39Z","abstract_excerpt":"Sati and Schreiber [arXiv:2402.18473, arXiv:2512.12431] have proposed that charge quantisation in quantum field theory and string theory is governed by a homotopy type $\\mathcal A$. We provide a refinement of this postulate, incorporating other currents including matter, connecting it to adjustments in higher gauge theory and providing a prescription for determining $\\mathcal A$, and show that, while the homotopy groups of $\\mathcal A$ classify the possible brane charges, the homology groups of $\\mathcal A$ classify the invertible higher-form symmetries. Furthermore, we show that the charge-qu"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"the charge-quantisation postulate implies a number of non-trivial constraints on quantum field theories similar to those implied by swampland conjectures; in particular, it rules out noncompact gauge groups and one-form field strengths that form a non-nilpotent Lie algebra. [...] for theories of quantum gravity the space A must be contractible, in accordance with the swampland conjectures on the absence of global generalised symmetries and the completeness of the spectrum of charges","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The postulate that charge quantization is governed by a homotopy type A, refined to incorporate other currents including matter and equipped with a prescription for determining A.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Refining charge quantization via a homotopy type A yields swampland-like constraints ruling out noncompact gauge groups and non-nilpotent one-form Lie algebras, and requires A to be contractible for quantum gravity theories.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The postulate that charge quantization is governed by a homotopy type implies swampland-type constraints on quantum field theories and requires contractible charge spaces in quantum gravity.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"5a1f0c94f57e505411f5069d3c3bd535d7e2d91e07b13fad87a2b0b0cb851cb3"},"source":{"id":"2604.22656","kind":"arxiv","version":2},"verdict":{"id":"ef36072e-f7b1-416e-a3c9-d1b87c7975e0","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T10:55:59.487617Z","strongest_claim":"the charge-quantisation postulate implies a number of non-trivial constraints on quantum field theories similar to those implied by swampland conjectures; in particular, it rules out noncompact gauge groups and one-form field strengths that form a non-nilpotent Lie algebra. [...] for theories of quantum gravity the space A must be contractible, in accordance with the swampland conjectures on the absence of global generalised symmetries and the completeness of the spectrum of charges","one_line_summary":"Refining charge quantization via a homotopy type A yields swampland-like constraints ruling out noncompact gauge groups and non-nilpotent one-form Lie algebras, and requires A to be contractible for quantum gravity theories.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The postulate that charge quantization is governed by a homotopy type A, refined to incorporate other currents including matter and equipped with a prescription for determining A.","pith_extraction_headline":"The postulate that charge quantization is governed by a homotopy type implies swampland-type constraints on quantum field theories and requires contractible charge spaces in quantum gravity."},"integrity":{"clean":false,"summary":{"advisory":1,"critical":0,"by_detector":{"doi_compliance":{"total":1,"advisory":1,"critical":0,"informational":0}},"informational":0},"endpoint":"/pith/2604.22656/integrity.json","findings":[{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. 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