{"arxiv_id":"1306.3938","incoming":{"papers":17,"sentences":21,"groups":[{"kind":"comparison","label":"Compares with it","papers":1,"sentences":2,"quotes":[{"arxiv_id":"1711.06888","title":"Webs of W-algebras","url":"/paper/1711.06888","section":"Outlook","sentence":"Our BRST definition (and the gluing construction in the case of [ref] ) seems to produce the same (or closely related) algebras to those discussed in [ref] .","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":5,"sentences":5,"quotes":[{"arxiv_id":"1408.4216","title":"$q$-Virasoro/W Algebra at Root of Unity and Parafermions","url":"/paper/1408.4216","section":"Introduction","sentence":"Moreover similar correspondence has been found and examined [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"1705.03628","title":"Elliptic algebra, Frenkel-Kac construction and root of unity limit","url":"/paper/1705.03628","section":"Introduction","sentence":"For works in this direction, see for example [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1507.00260","title":"Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models","url":"/paper/1507.00260","section":"more recent developments","sentence":"The list of papers which discuss subjects closely related to that of this subsection include [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1608.02964","title":"A brief review of the 2d/4d correspondences","url":"/paper/1608.02964","section":"Other spacetimes, other theories","sentence":"For a sample of references, see e.g. [ref] .[The author thanks F.","intent_p":0.96,"contests_p":null},{"arxiv_id":"1602.01209","title":"q-Vertex Operator from 5D Nekrasov Function","url":"/paper/1602.01209","section":"Remark: $q→1$ limit","sentence":"While root of unity limits of $q$ are related to 2d supersymmetric/parafermionic theories and the 4d gauge theories on ALE spaces [ref] .","intent_p":0.91,"contests_p":null}]}],"unlabelled_sentences":14},"outgoing":{"papers":22,"sentences":37,"groups":[{"kind":"extends","label":"Builds on","papers":5,"sentences":5,"quotes":[{"arxiv_id":"1110.2176","title":"Ramond sector of super Liouville theory from instantons on an ALE space","url":"/paper/1110.2176","section":"Introduction","sentence":"The present work can be considered as the continuation of the line of studies started in [ref] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"1110.5628","title":"Parafermionic Liouville field theory and instantons on ALE spaces","url":"/paper/1110.5628","section":"Introduction","sentence":"The present work can be considered as the continuation of the line of studies started in [ref] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"1111.2803","title":"Instanton moduli spaces and bases in coset conformal field theory","url":"/paper/1111.2803","section":"Introduction","sentence":"The present work can be considered as the continuation of the line of studies started in [ref] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"1210.7454","title":"N=1 superconformal blocks with Ramond fields from AGT correspondence","url":"/paper/1210.7454","section":"Introduction","sentence":"The present work can be considered as the continuation of the line of studies started in [ref] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"1211.2788","title":"Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity","url":"/paper/1211.2788","section":"Introduction","sentence":"The present work can be considered as the continuation of the line of studies started in [ref] .","intent_p":0.85,"contests_p":null}]},{"kind":"data_used","label":"Uses data or values from","papers":2,"sentences":3,"quotes":[{"arxiv_id":"1107.4609","title":"Gauge Theories on ALE Space and Super Liouville Correlation Functions","url":"/paper/1107.4609","section":"First compactification","sentence":"The partition function in this approach was calculated in [ref] : [equation] where $a⃗=(a,-a)$, $a⃗^(σ)_s= (a^(σ)_s,-a^(σ)_s)$, and $a^(σ)_s = a + (n_σ+1+d_σ+1^s)ϵ_1^(σ) + (n_σ+d_σ^s)ϵ_2^(σ)$, and regularization parameters are $ϵ_1^(σ)=(p-σ)ϵ_1-σϵ_2$, $ϵ_2^(σ)=(σ+1-p)ϵ_1+(σ+1)ϵ_2$.","intent_p":0.85,"contests_p":null},{"arxiv_id":"1208.0790","title":"N=2 gauge theories on toric singularities, blow-up formulae and W-algebrae","url":"/paper/1208.0790","section":"First compactification","sentence":"The partition function in this approach was calculated in [ref] : [equation] where $a⃗=(a,-a)$, $a⃗^(σ)_s= (a^(σ)_s,-a^(σ)_s)$, and $a^(σ)_s = a + (n_σ+1+d_σ+1^s)ϵ_1^(σ) + (n_σ+d_σ^s)ϵ_2^(σ)$, and regularization parameters are $ϵ_1^(σ)=(p-σ)ϵ_1-σϵ_2$, $ϵ_2^(σ)=(σ+1-p)ϵ_1+(σ+1)ϵ_2$.","intent_p":0.85,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":12,"sentences":12,"quotes":[{"arxiv_id":"0906.3219","title":"Liouville Correlation Functions from Four-dimensional Gauge 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generalizations of the AGT correspondence for the other gauge groups and conformal field theories see [ref] ).","intent_p":0.97,"contests_p":null},{"arxiv_id":"1105.5800","title":"Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories","url":"/paper/1105.5800","section":"Introduction","sentence":"The original so-called AGT relation proposed in [ref] states the equality between the correlation functions in the Liouville field theory and the partition function of the $𝒩=2$ supersymmetric Yang-Mills theory with the $SU(2)$ gauge group (for the generalizations of the AGT correspondence for the other gauge groups and conformal field theories see [ref] ).","intent_p":0.97,"contests_p":null}]}],"unlabelled_sentences":17},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/1306.3938"}}