{"paper":{"title":"Symmetries of deformed supersymmetric mechanics on K\\\"ahler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Armen Nersessian, Evgeny Ivanov, Hovhannes Shmavonyan, Stepan Sidorov","submitted_at":"2019-11-14T18:26:24Z","abstract_excerpt":"Based on the systematic Hamiltonian and superfield approaches we construct the deformed $\\mathcal{N}=4,8$ supersymmetric mechanics on K\\\"ahler manifolds interacting with constant magnetic field, and study their symmetries. At first we construct the deformed $\\mathcal{N}=4,8$ supersymmetric Landau problem via minimal coupling of standard (undeformed) $\\mathcal{N}=4,8$ supersymmetric free particle systems on K\\\"ahler manifold with constant magnetic field. We show that the initial \"flat\" supersymmetries are necessarily deformed to $SU(2|1)$ and $SU(4|1)$ supersymmetries, with the magnetic field p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.06290","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/1911.06290/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"}