{"paper":{"title":"A note on constructing quasi modules for quantum vertex algebras from twisted Yangians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Marina Serti\\'c, Slaven Ko\\v{z}i\\'c","submitted_at":"2022-10-22T17:50:34Z","abstract_excerpt":"In this note, we consider the twisted Yangians $\\text{Y}(\\mathfrak{g}_N)$ associated with the orthogonal and symplectic Lie algebras $\\mathfrak{g}_N=\\mathfrak{o}_N,\\mathfrak{sp}_N$. First, we introduce a certain subalgebra $\\text{A}_c(\\mathfrak{g}_N)$ of the double Yangian for $\\mathfrak{gl}_N$ at the level $c\\in\\mathbb{C}$, which contains the centrally extended $\\text{Y}(\\mathfrak{g}_N)$ at the level $c$ as well as its vacuum module $\\mathcal{M}_c(\\mathfrak{g}_N)$. Next, we employ its structure to construct examples of quasi modules for the quantum affine vertex algebra $\\mathcal{V}_c(\\mathfr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.12510","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/2210.12510/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"}