{"paper":{"title":"A categorification of the boson-fermion correspondence via representation theory of $sl(\\infty)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Igor Frenkel, Ivan Penkov, Vera Serganova","submitted_at":"2014-05-29T13:35:10Z","abstract_excerpt":"In recent years different aspects of categorification of the boson-fermion correspondence have been studied. In this paper we propose a categorification of the boson-fermion correspondence based on the category of tensor modules of the Lie algebra $sl(\\infty)$ of finitary infinite matrices. By $\\mathbb T^+$ we denote the category of \"polynomial\" tensor $sl(\\infty)$-modules. There is a natural \"creation\" functor $\\mathcal T_N: \\mathbb T^+\\to \\mathbb T^+$, $M\\mapsto N\\otimes M,\\quad M,N\\in \\mathbb T^+$. The key idea of the paper is to employ the entire category $\\mathbb T$ of tensor $sl(\\infty)$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7553","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"}