{"paper":{"title":"Hamiltonian Algebroid Symmetries in W-gravity and Poisson sigma-model","license":"","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"A. Levin, M. Olshanetsky","submitted_at":"2000-10-06T12:05:31Z","abstract_excerpt":"Starting from a Lie algebroid ${\\cal A}$ over a space V we lift its action to the canonical transformations on the principle affine bundle ${\\cal R}$ over the cotangent bundle $T^*V$. Such lifts are classified by the first cohomology $H^1({\\cal A})$. The resulting object is the Hamiltonian algebroid ${\\cal A}^H$ over ${\\cal R}$ with the anchor map from $\\G({\\cal A}^H)$ to Hamiltonians of canonical transformations. Hamiltonian algebroids generalize the Lie algebras of canonical transformations. We prove that the BRST operator for ${\\cal A}^H$ is cubic in the ghost fields as in the Lie algebra c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0010043","kind":"arxiv","version":3},"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"}