{"arxiv_id":"hep-ph/9208245","incoming":{"papers":5,"sentences":8,"groups":[{"kind":"comparison","label":"Compares with it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2111.13345","title":"Stable $Z$-strings with topological polarization in two Higgs doublet model","url":"/paper/2111.13345","section":"Introduction","sentence":"Therefore the vortex molecule is stable for a much wider parameter range compared to the usual axially symmetric non-topological $Z$ strings studied in Refs. [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":3,"sentences":3,"quotes":[{"arxiv_id":"2303.09517","title":"Stability of the embedded string in the $SU(N)\\times U(1)$ Higgs model and its application","url":"/paper/2303.09517","section":"discussion and summary","sentence":"The classical stability of the embedded string is not guaranteed by the topological features of the moduli space, and it has been studied for the Z-string in the breaking $SU(2)_L×U(1)_Y→U(1)_Q$ by analytically and numerically since 1990s [ref] , but few for other symmetry breaking [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"2606.02689","title":"Thermal Metastable Strings in One-Scale Models and Gravitational Waves","url":"/paper/2606.02689","section":"Results and Discussion","sentence":"The corresponding question has been studied in the Standard Model and in left–right extensions in Ref. [ref] .","intent_p":0.8,"contests_p":null},{"arxiv_id":"2111.13345","title":"Stable $Z$-strings with topological polarization in two Higgs doublet model","url":"/paper/2111.13345","section":"Introduction","sentence":"To stabilize it, various mechanisms have been proposed thus far, for instance, thermal effect [ref] , fermions trapped around the $Z$-strings [ref] , and external magnetic fields [ref] (see also Refs. [ref] ).","intent_p":0.81,"contests_p":null}]}],"unlabelled_sentences":4},"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-ph/9208245"}}