{"arxiv_id":"hep-th/9711013","incoming":{"papers":116,"sentences":150,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":8,"sentences":8,"quotes":[{"arxiv_id":"1801.03916","title":"5-brane webs for 5d $\\mathcal{N}=1$ $G_2$ gauge theories","url":"/paper/1801.03916","section":"5d Nekrasov partition functions of $G_2$ gauge theories","sentence":"Since 5-brane webs can be reinterpreted as toric diagrams [ref] , we can apply the topological vertex formalism [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"1605.01732","title":"Orientifolds of Warped Throats from Toric Calabi-Yau Singularities","url":"/paper/1605.01732","section":"Introduction and main results","sentence":"This is most straightforwardly carried out in terms of the behaviour of zig-zag paths [ref] , which correspond to external legs of the web diagram dual to the toric diagram of the singularity [ref] .","intent_p":0.87,"contests_p":null},{"arxiv_id":"1902.04754","title":"Rank-3 antisymmetric matter on 5-brane webs","url":"/paper/1902.04754","section":"Introduction","sentence":"We can also compute 5d Nekrasov partitions by applying the topological vertex [ref] to 5-brane webs, which makes use of a chain of string dualities between 5-brane webs in type IIB string theory and non-compact Calabi-Yau threefolds in M-theory [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"1707.07181","title":"Discrete theta angle from an O5-plane","url":"/paper/1707.07181","section":"Phase diagram for the 5-brane web without an O5-plane of the $E_2$ theory","sentence":"Due to the relation between a toric variety and a 5-brane web diagram in [ref] , we can understand the phase structure of the $SU(2)$ gauge theory with one flavor from the 5-brane web diagram without an O5-plane realizing the $SU(2)$ gauge theory with one flavor.","intent_p":0.83,"contests_p":null},{"arxiv_id":"1102.1979","title":"Emerging Non-Anomalous Baryonic Symmetries in the AdS_5/CFT_4 Correspondence","url":"/paper/1102.1979","section":"Chamber 1","sentence":"This allows one to map the topology of the resolved space into a two-dimensional diagram [ref] .","intent_p":0.92,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":47,"sentences":53,"quotes":[{"arxiv_id":"2411.16033","title":"Generative AI for Brane Configurations and Coamoeba","url":"/paper/2411.16033","section":"Type IIB Brane Configurations and $4d$ $𝒩=1$ Quiver Gauge Theories","sentence":"In this work, we consider a family of $4d$ $𝒩=1$ supersymmetric gauge theories which are worldvolume theories of a D3-brane probing a toric Calabi-Yau 3-fold [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"2403.09776","title":"The Geometry of GTPs and 5d SCFTs","url":"/paper/2403.09776","section":"Brane webs and GTPs","sentence":"The duality between M-theory on $T^2$ and Type IIB on $S^1$ implies that a 5d theory can be engineered both via pure geometry in M-theory, as described above, or through a brane web in flat space in Type IIB [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"2605.16497","title":"5d Trinions and Tetraons","url":"/paper/2605.16497","section":"Introduction","sentence":"This paper is in the context of the atomic classification of 5d SCFT proposed in [ref] [An all-embracing classification of 5d SCFTs has been a highly coveted prize since the seminal papers [ref] .","intent_p":0.87,"contests_p":null},{"arxiv_id":"1809.00629","title":"Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter","url":"/paper/1809.00629","section":"Introduction","sentence":"The duality between a 5-brane web in type IIB string theory and a toric Calabi-Yau threefold in M-theory [ref] enables one to utilize the topological string partition function on a toric Calabi-Yau threefold to obtain the BPS partition function of a 5d gauge theory on the dual 5-brane web [ref] .","intent_p":0.8,"contests_p":null},{"arxiv_id":"2310.19276","title":"Machine Learning Regularization for the Minimum Volume Formula of Toric Calabi-Yau 3-folds","url":"/paper/2310.19276","section":"Introduction","sentence":"The discovered formulas depend either on 3 or 6 parameters that come from features of the corresponding toric diagrams [ref] – convex lattice polygons on $ℤ^2$ that characterize uniquely the associated toric Calabi-Yau 3-fold.","intent_p":0.95,"contests_p":null}]}],"unlabelled_sentences":89},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"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. 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A later paper is listed under a label only when the classifier gives one of its sentences that label at intent probability 0.8 or more (0.95 for support), Pith's reading of the sentence finds that the citing paper itself did it, and a second check of the paraphrase against the sentence passes. The section lists uses only: building on the paper, using its method, tool, data or values, comparing with it and citing it as support. It does not list criticism or disagreement, so their absence says nothing about how the paper has been received. Code counted the papers, wrote the summary from the listed entries, set the evidence level and linked each entry to its citing paper. Quotes are copied from the citing sentence and shown only when the citing paper's licence is CC BY, CC BY-SA or CC0; otherwise the paraphrase is shown. Papers that share an author with this one are listed apart. A paper with fewer citing papers gets a line counted by code, which names uses only: a later paper whose only label is a contest is counted as not described.","line":null,"summary":"2 later papers by other authors are listed below: 2 used its method or tool."},"_links":{"html":"https://pith.science/paper/hep-th/9711013"}}