{"paper":{"title":"On the generalized Miura transformation","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alex Deckmyn","submitted_at":"1992-09-22T09:31:18Z","abstract_excerpt":"By generalizing the Miura transformation for $\\Ww_N$ to other classical $\\Ww$ algebras obtained by hamiltonian reduction, we find realisations of these algebras in terms of relatively simple non-abelian current algebras, e.g. $\\widehat{sl(2)}\\times \\widehat{u(1)}^N$, generalizing the free field realisation of $\\Ww_N$. As an example, we present the $\\widehat{sl(2)}\\times \\widehat{u(1)}$ realisation of $\\Ww_3^2$, which we also quantize. By a specific example, we also show how the realisation of $\\Ww_N$ with the currents of $\\Ww_{N-1}$ and a free boson can be generalized to certain classes of ``e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9209075","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":""},"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"}