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.","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":9,"sentences":10,"quotes":[{"arxiv_id":"2201.06839","title":"Virasoro Constraint for Uglov Matrix Model","url":"/paper/2201.06839","section":"Ward identity","sentence":"[ The Uglov matrix model is originally introduced to describe the $ℤ_r$ orbifold theory [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"1108.3563","title":"Vortices on Orbifolds","url":"/paper/1108.3563","section":"Introduction","sentence":"0 Hanany-Tong [ref] moduli space [ref] higher winding numbers [ref] group theory [ref] vortex counting [ref] [ref] instantons on the ALE spaces [ref] collision [ref] moduli space metric [ref] review: HT $↔$ moduli matrix [ref] instanton counting on the ALE spaces [ref] AGT for the ALE spaces [ref] vortex polygon and crystal [ref]","intent_p":0.99,"contests_p":null},{"arxiv_id":"2212.03870","title":"Double Quiver Gauge Theory and BPS/CFT 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.","intent_p":0.85,"contests_p":null},{"arxiv_id":"0912.5476","title":"Matrix models for $\\beta$-ensembles from Nekrasov partition functions","url":"/paper/0912.5476","section":"$=2$ partition functions","sentence":"By decomposing the partition functions ([ref]), ([ref]) as [equation] each part can be rewritten as [equation] We can check finite constants turn out to be [equation] Therefore they can be represented as [equation] [equation] These expressions are convenient to give the matrix model description [ref] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"1104.0783","title":"Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories","url":"/paper/1104.0783","section":"Spectral curve of the matrix model","sentence":"The method used in this section is partially based on that developed for the lens space Chern-Simons matrix model [ref] .","intent_p":1.0,"contests_p":null}]},{"kind":"comparison","label":"Compares 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[ref] [ref] .","intent_p":0.97,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":19,"sentences":19,"quotes":[{"arxiv_id":"0912.5476","title":"Matrix models for $\\beta$-ensembles from Nekrasov partition functions","url":"/paper/0912.5476","section":"Introduction","sentence":"Furthermore another type of the matrix model is also investigated so far [ref] [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"0810.4944","title":"Seiberg-Witten theory and matrix models","url":"/paper/0810.4944","section":"Introduction","sentence":"Furthermore another type of the matrix model is also investigated so far [ref] [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"0709.0432","title":"Instanton Counting and Matrix Model","url":"/paper/0709.0432","section":"Introduction","sentence":"Furthermore another type of the matrix model is also investigated so far [ref] [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"0904.3064","title":"Matrix models for 2* 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