{"paper":{"title":"Chiralization of Quiver Varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.QA","math.RT"],"primary_cat":"math.AG","authors_text":"Ioana Coman, Masahito Yamazaki, Myungbo Shim, Yehao Zhou","submitted_at":"2026-06-22T18:00:08Z","abstract_excerpt":"Given a quiver Q with gauge dimension $\\bf v$ and framing dimension $\\bf w$, one can define the extended quiver variety $\\widetilde{\\mathcal M}(\\mathbf v,\\mathbf w)$, which is a smooth family of deformations of the Nakajima quiver variety $\\mathcal M(\\mathbf v,\\mathbf w)$. In this paper we discuss two vertex algebras which chiralize the geometry $\\widetilde{\\mathcal M}(\\mathbf v,\\mathbf w)$. We construct a sheaf of $\\hbar$-adic vertex superalgebras $\\mathscr D^{\\mathrm{ch}}_{\\widetilde{\\mathcal M}(\\mathbf v,\\mathbf w),\\hbar}$ on $\\widetilde{\\mathcal M}(\\mathbf v,\\mathbf w)$ which quantizes the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.23807","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/2606.23807/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"}