{"arxiv_id":"hep-th/9202074","incoming":{"papers":94,"sentences":150,"groups":[{"kind":"extends","label":"Builds on it","papers":3,"sentences":3,"quotes":[{"arxiv_id":"1203.5082","title":"Bubbles and jackets: new scaling bounds in topological group field theories","url":"/paper/1203.5082","section":"Introduction","sentence":"First, we perform again the same construction of [ref] for the 3d (Boulatov) model [ref] in a different regularization, which allows a simpler proof of the bubble bound, showing generic suppression of pseudomanifolds; for the same model, then, we show how the vertex formulation also allows a proof of new jacket bounds that end up being actually stronger than the ones on which the large-N results were based [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"1405.2808","title":"Weighting bubbles in group field theory","url":"/paper/1405.2808","section":"Introduction","sentence":"Making this explicit in dimension three leads us to a modification of the Boulatov model [ref] giving","intent_p":0.94,"contests_p":null},{"arxiv_id":"1303.6772","title":"Renormalization of an SU(2) Tensorial Group Field Theory in Three Dimensions","url":"/paper/1303.6772","section":"Introduction","sentence":"It is a modification of the Boulatov model [ref] in two key aspects.","intent_p":0.94,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":62,"sentences":76,"quotes":[{"arxiv_id":"1401.5819","title":"Asymptotic Analysis of the Ponzano-Regge Model with Non-Commutative Metric Boundary Data","url":"/paper/1401.5819","section":"Introduction","sentence":"We will restrict our consideration to the 3d Ponzano–Regge model [ref] to have a better control over the formalism in this simpler case.","intent_p":0.91,"contests_p":null},{"arxiv_id":"1405.2808","title":"Weighting bubbles in group field theory","url":"/paper/1405.2808","section":"GFT and translational symmetry","sentence":"The archetypal group field theory in three dimensions is the Boulatov model, whose Feynman graph expansion generates a topological $BF$ evaluation of each Feynman diagram [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"1104.5471","title":"Tensor models and embedded Riemann surfaces","url":"/paper/1104.5471","section":"Introduction","sentence":"Near the end, we shall switch to the Boulatov model [ref] , which has attracted a lot of interest since it has a manifest connection to $3d$ gravity.","intent_p":0.85,"contests_p":null},{"arxiv_id":"1603.01902","title":"Flowing in Group Field Theory Space: a Review","url":"/paper/1603.01902","section":"Simplicial GFT models and tensorial theory space","sentence":"Colored tensor models [ref] and GFTs were introduced in 2009 by Gurau [ref] and have since then overcome two important caveats of older simplicial constructions [ref] : 1) in dimension $d≥3$, the combinatorial data of Feynman diagrams failed to unambiguously encode the combinatorial structure and topology of the simplicial complexes generated in perturbative expansion; 2) even though power counting results could be derived [ref] , no consistent organization of the amplitudes – such as the celebrated $1/N$ expansion of matrix models – could be proposed to make sense of the formal perturbative expansion.","intent_p":0.89,"contests_p":null},{"arxiv_id":"1301.1535","title":"The 1/N expansion of multi-orientable random tensor models","url":"/paper/1301.1535","section":"Introduction.","sentence":"Progress came from a simplified colored version of these models [ref] , first proposed within the framework of group field theory (GFT) [ref] and then as an even more general theory of random tensors [ref] .","intent_p":0.89,"contests_p":null}]}],"unlabelled_sentences":71},"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":{"arxiv_id":"hep-th/9202074","kind":"model","paper_version":1,"prompt_version":"held-up-v3.5","generated_at":"2026-10-27T17:03:28+00:00","loaded_at":"2026-10-28T01:02:52.907539+00:00","evidence":"some","account":[],"groups":[{"kind":"extends","label":"Builds on it","papers":3,"entries":[{"p":0.93,"quote":null,"citing":[{"self":false,"year":2012,"title":"Bubbles and jackets: new scaling bounds in topological group field theories","arxiv_id":"1203.5082"}],"verified":true,"paraphrase":"Performed again the same construction for this paper's 3d (Boulatov) model in a different regularization, allowing a simpler proof of the bubble bound and new jacket bounds."},{"p":0.94,"quote":null,"citing":[{"self":false,"year":2014,"title":"Weighting bubbles in group field theory","arxiv_id":"1405.2808"}],"verified":true,"paraphrase":"Modified this paper's Boulatov model by extending the definition of the fields to include extra indices labeling the vertices of the tetrahedron."},{"p":0.94,"quote":null,"citing":[{"self":false,"year":2013,"title":"Renormalization of an SU(2) Tensorial Group Field Theory in Three Dimensions","arxiv_id":"1303.6772"}],"verified":true,"paraphrase":"Modified this paper's Boulatov model in two key aspects."}],"papers_all":3,"self_papers":0,"self_entries":[]}],"counts":{"by_kind":{"extends":3},"dropped":{"relied_on":0,"unknown_ids":0,"account_lines":0,"contest_vetoed":0,"below_threshold":0,"contest_drawback":0,"contest_without_basis":0,"contest_not_one_sentence":0,"contest_on_group_citation":0},"papers_read":18,"self_papers":0,"citing_papers":101,"sentences_read":29,"citing_sentences":165,"unambiguous_read":29,"typed_independent":3,"independent_papers":101,"by_kind_independent":{"extends":3}},"input_sha256":"e6083069dc2138cfe7304d4be3802fedb21c80fb061bedf7239cf03b16025012","method":"For a paper with five or more citing arXiv papers, Pith selected up to 40 citing sentences its citation classifier typed, read those whose citation markers point at this paper alone, and wrote one paraphrase for each later paper in each group, each resting on one sentence. 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":"3 later papers by other authors are listed below: 3 built on it."},"_links":{"html":"https://pith.science/paper/hep-th/9202074"}}