{"paper":{"title":"Supersymmetric many-body Euler-Calogero-Moser model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Anton Sutulin, Olaf Lechtenfeld, Sergey Krivonos","submitted_at":"2018-12-09T17:47:17Z","abstract_excerpt":"We explicitly construct a supersymmetric $so(n)$ spin-Calogero model with an arbitrary even number $\\cal N$ of supersymmetries. It features $\\frac{1}{2}{\\cal N}n(n{+}1)$ rather than ${\\cal N}n$ fermionic coordinates and a very simple structure of the supercharges and the Hamiltonian. The latter, together with additional conserved currents, form an $osp({\\cal N}|2)$ superalgebra. We provide a superspace description for the simplest case, namely ${\\cal N}{=}2$ supersymmetry. The reduction to an $\\cal N$-extended supersymmetric goldfish model is also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03530","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}