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([ref]).","intent_p":0.9,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0808.1242","title":"Contact interactions in low scale string models with intersecting $D6$-branes","url":"/paper/0808.1242","section":"Numerical results for contact interactions","sentence":"The information on the branes configurations and on the structure of the associated coefficient functions is displayed in Table [ref] for Cremades et al., [ref] model.","intent_p":0.81,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":10,"sentences":12,"quotes":[{"arxiv_id":"0907.4895","title":"Matter wave functions and Yukawa couplings in F-theory Grand Unification","url":"/paper/0907.4895","section":"Introduction","sentence":"One finds [ref] that to leading order, for a compactification having three generations, only one of them gets a non-trivial Yukawa, in analogy with the results in [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"0709.0245","title":"Instanton effects in N=1 brane models and the Kahler metric of twisted matter","url":"/paper/0709.0245","section":"Comparison with the Yukawa couplings","sentence":"We now compare this finding with the results of Ref. [ref] for the physical Yukawa couplings of toroidal models with magnetized D9 branes [In the T-dual intersecting brane version, these couplings have been studied in Refs. [ref] .].","intent_p":1.0,"contests_p":null},{"arxiv_id":"0912.3369","title":"Holomorphic variables in magnetized brane models with continuous Wilson lines","url":"/paper/0912.3369","section":"Modular transformation of matter fields","sentence":"The resulting expressions match the CFT computation performed in the type IIA side [ref] , up to global phases that we discuss below.","intent_p":1.0,"contests_p":null},{"arxiv_id":"1003.5194","title":"Chiral four dimensional field theory from superstring and higher dimensional super Yang-Mills theory","url":"/paper/1003.5194","section":"Non-Abelian Wilson line","sentence":"When $g=g.c.d.(M_1',M_2',M_3')=g.c.d.(M_1,M_2,M_3)$, the coupling selection rule is given by [equation] That means that we can assign $Z_g$ charges to all of zero-modes.[See Refs. [ref] for a similar selection rule in intersecting D-brane models.]","intent_p":0.82,"contests_p":null},{"arxiv_id":"0903.3800","title":"Higher Order Couplings in Magnetized Brane Models","url":"/paper/0903.3800","section":"Three-point coupling","sentence":"This situation is the same as one in intersecting D-brane models [ref] .","intent_p":0.97,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":26,"sentences":28,"quotes":[{"arxiv_id":"0903.3800","title":"Higher Order Couplings in Magnetized Brane Models","url":"/paper/0903.3800","section":"Intersecting D-brane models","sentence":"In the intersecting brane case, as well as heterotic string case, there have been CFT calculation of higher order amplitude [ref] using vertex operator insertion [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"0903.4905","title":"Stringy WIMP Detection and Annihilation","url":"/paper/0903.4905","section":"Low-Energy Effective Action","sentence":"The effective Yukawa couplings [ref] , matter field Kähler metric and soft-SUSY breaking terms have also been investigated [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"2403.09775","title":"Yukawa Couplings at Infinite Distance and Swampland Towers in Chiral Theories","url":"/paper/2403.09775","section":"Yukawas in toroidal and Calabi–Yau orientifolds","sentence":"We refer to [ref] for more details on these expressions.","intent_p":0.91,"contests_p":null},{"arxiv_id":"0907.4895","title":"Matter wave functions and Yukawa couplings in F-theory Grand Unification","url":"/paper/0907.4895","section":"Introduction","sentence":"Such a computation has been completely worked out for the relatively simple case of type IIB toroidal orientifolds [ref] with constant $U(1)$ fluxes (see also [ref] ).","intent_p":0.8,"contests_p":null},{"arxiv_id":"0904.2631","title":"Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models","url":"/paper/0904.2631","section":"Introduction","sentence":"Magnetized D-brane models and intersecting D-brane models are T-duals of each other [ref] .[ See for a review [ref] and references therein.] Selection rules for allowed couplings in these models have been studied [ref] .","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":99},"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. 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