{"arxiv_id":"0909.2879","incoming":{"papers":11,"sentences":14,"groups":[{"kind":"background","label":"Cites it as background","papers":4,"sentences":4,"quotes":[{"arxiv_id":"0911.4127","title":"Chiral flavors and M2-branes at toric CY4 singularities","url":"/paper/0911.4127","section":"Introduction","sentence":"The study of $= 2$ quiver Chern-Simons theories dual to Calabi-Yau cones was initiated in [ref] , followed by a large number of works [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1103.0553","title":"M2-Branes and Fano 3-folds","url":"/paper/1103.0553","section":"Introduction","sentence":"Quivers are graphs that encode relevant pieces of information about the supersymmetric Lagrangian of a theory and, in the context of M2-branes in various backgrounds, they are believed to describe the $(2+1)$-dimensional CS theories that live on the M2-branes' world-volume [ref] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"0910.0370","title":"M2-branes Theories without 3+1 Dimensional Parents via Un-Higgsing","url":"/paper/0910.0370","section":"$𝒩=2$ quiver Chern-Simons theories and Higgs branch","sentence":"Extensive work has been done to study the moduli space of the supersymmetric gauge theories in 4 and 3 dimensions [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"0911.0008","title":"M5 spikes and operators in the HVZ membrane theory","url":"/paper/0911.0008","section":"Conclusions","sentence":"Very recently, an inverse algorithm to construct dual theories for M2 branes probing arbitrary $CY_4$ has been started being devised in [ref] .","intent_p":0.97,"contests_p":null}]}],"unlabelled_sentences":10},"outgoing":{"papers":29,"sentences":46,"groups":[{"kind":"extends","label":"Builds on","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0904.1847","title":"Chern-Simons: Fano and Calabi-Yau","url":"/paper/0904.1847","section":"Introduction","sentence":"First, we wish to continue with [ref] and exhaustively and progressively classify toric quiver diagrams with superpotential, whereby establishing, for each given number of nodes and edges, all possible parent $(3+1)$-dimensional theories which could descend to $(2+1)$-dimensional Chern-Simon quiver theories.","intent_p":0.98,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses the method or tool of","papers":2,"sentences":2,"quotes":[{"arxiv_id":"0811.4044","title":"M2-Branes and Quiver Chern-Simons: A Taxonomic Study","url":"/paper/0811.4044","section":"Quiver Diagrams for Low Order Parameters","sentence":"One can be put these in by analysing candidates for the superpotentials as was done in [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"hep-th/0003085","title":"D-Brane Gauge Theories from Toric Singularities and Toric Duality","url":"/paper/hep-th/0003085","section":"Conclusions and Prospects","sentence":"The toric quiver theories have been produced specifically so the `forward algorithm' [ref] can be applied in order to scan through lower order theories, giving us a new method to study the duality manifested in the AdS/CFT correspondance.","intent_p":0.99,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":2,"sentences":3,"quotes":[{"arxiv_id":"0811.4044","title":"M2-Branes and Quiver Chern-Simons: A Taxonomic Study","url":"/paper/0811.4044","section":"The Space of Quiver Theories","sentence":"To further confirm the results the numbers of $x=2$ quiver diagrams are compared with the generating function found in [ref] , which gives the number of base quiver diagrams that have at least one non-vanishing toric superpotential.","intent_p":0.99,"contests_p":null},{"arxiv_id":"0909.2868","title":"On the Classification of Brane Tilings","url":"/paper/0909.2868","section":"Introduction","sentence":"We would like to draw the reader's attention to a beautiful parallel work by [ref] , which also classifies toric quiver theories, but from the point of view of brane tilings.","intent_p":0.97,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":24,"sentences":24,"quotes":[{"arxiv_id":"0706.1660","title":"Brane Tilings","url":"/paper/0706.1660","section":"Toric Calabi-Yau Quiver Gauge Theories","sentence":"Second, it is now well-established that toric Calabi-Yau brane theories admit a tiling or dimer description (see [ref] for excellent reviews); in order to admit a tiling, we must also adhere to a topological condition [equation]","intent_p":0.84,"contests_p":null},{"arxiv_id":"0709.1260","title":"Algebraic structures on parallel M2-branes","url":"/paper/0709.1260","section":"Introduction","sentence":"The works of [ref] have brought about tremendous interest in the M2-brane, and following [ref] , where the world-volume theory was realised as a Chern-Simons quiver theory in $(2+1)$-dimensions, much activity ensued (q.v. e.g. [ref] ).","intent_p":0.99,"contests_p":null},{"arxiv_id":"0804.1114","title":"Membranes on an Orbifold","url":"/paper/0804.1114","section":"Introduction","sentence":"The works of [ref] have brought about tremendous interest in the M2-brane, and following [ref] , where the world-volume theory was realised as a Chern-Simons quiver theory in $(2+1)$-dimensions, much activity ensued (q.v. e.g. [ref] ).","intent_p":0.99,"contests_p":null},{"arxiv_id":"0806.1218","title":"N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals","url":"/paper/0806.1218","section":"Introduction","sentence":"The works of [ref] have brought about tremendous interest in the M2-brane, and following [ref] , where the world-volume theory was realised as a Chern-Simons quiver theory in $(2+1)$-dimensions, much activity ensued (q.v. e.g. [ref] ).","intent_p":0.99,"contests_p":null},{"arxiv_id":"0806.1519","title":"Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence","url":"/paper/0806.1519","section":"Introduction","sentence":"The works of [ref] have brought about tremendous interest in the M2-brane, and following [ref] , where the world-volume theory was realised as a Chern-Simons quiver theory in $(2+1)$-dimensions, much activity ensued (q.v. e.g. [ref] ).","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":16},"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/0909.2879"}}