{"arxiv_id":"hep-th/0106249","incoming":{"papers":10,"sentences":13,"groups":[{"kind":"background","label":"Cites it as background","papers":5,"sentences":5,"quotes":[{"arxiv_id":"1906.05305","title":"$20'$ Five-Point Function from $AdS_5\\times S^5$ Supergravity","url":"/paper/1906.05305","section":"Low-lying operators","sentence":"From the representation theory of the 4d $𝒩=4$ superconformal algebra, we know that the tensor product of two stress tensor multiplets takes the following schematic form [ref] [equation] Here we use the notation $𝒳^s/4,s̅/4_[d_1,d_2,d_3](j,j̅)$ to denote the supermultiplets, where $[d_1,d_2,d_3]$ is the R-symmetry Dykin label of the super primary and $(j,j̅)$ are the Lorentz spins.","intent_p":0.8,"contests_p":null},{"arxiv_id":"1304.1803","title":"The N=4 Superconformal Bootstrap","url":"/paper/1304.1803","section":"Introduction","sentence":"The constraints of superconformal invariance on this four-point function have been analyzed in detail in, , [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1612.02363","title":"More ${\\mathcal N}=4$ superconformal bootstrap","url":"/paper/1612.02363","section":"Superconformal block decomposition","sentence":"Schematically we have [ref]","intent_p":0.81,"contests_p":null},{"arxiv_id":"1512.06072","title":"On correlation functions of BPS operators in $3d$ $\\mathcal{N}=6$ superconformal theories","url":"/paper/1512.06072","section":"Introduction and overview","sentence":"For $=4$ SYM, this analysis was performed in a series of papers [ref] , where the Ward identities for correlators of $1/2$-BPS operators were obtained and solved.","intent_p":0.86,"contests_p":null},{"arxiv_id":"1608.05126","title":"Bootstrap equations for $\\mathcal{N}=4$ SYM with defects","url":"/paper/1608.05126","section":"OPE summary","sentence":"Concerning the bulk channel, the OPE of $1/2$-BPS operators is well known, see [ref] , and is independent of the presence of the defect.","intent_p":0.86,"contests_p":null}]}],"unlabelled_sentences":8},"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. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/hep-th/0106249"}}