{"arxiv_id":"astro-ph/9611198","incoming":{"papers":14,"sentences":20,"groups":[{"kind":"comparison","label":"Compares with it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2204.13123","title":"Cosmic strings from pure Yang-Mills theory","url":"/paper/2204.13123","section":"Properties of cosmic strings","sentence":"It should be noted that this property is different from that of non-Abelian strings considered in Refs. [ref] , where there are many different strings that cannot pass through or reconnect with each other.","intent_p":0.95,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":9,"sentences":12,"quotes":[{"arxiv_id":"1602.07050","title":"Half-quantized Non-Abelian Vortices in Neutron $^3P_2$ Superfluids inside Magnetars","url":"/paper/1602.07050","section":"Introduction","sentence":"The term “non-Abelian” indicates elements of the first homotopy group to be non-Abelian (non-commutative) [ref] , and consequently when two non-Abelian vortices, characterized by homotopy group elements that do not commute, collide, it is inevitable to form a rung vortex that bridges the two vortices [ref] , implying the formation of a tangled network of vortices and long lifetime of vortices after their formation at the phase transition [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"0912.4004","title":"The effect of kinematic constraints on multi-tension string network evolution","url":"/paper/0912.4004","section":"Introduction","sentence":"On the numerical side, network evolution with junctions has been studied in [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"0809.1413","title":"Cosmology of Bifundamental Fields","url":"/paper/0809.1413","section":"Introduction","sentence":"Cosmological consequences of a frozen network of strings have also been investigated in Refs. [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"1111.6638","title":"The stochastic background from cosmic (super)strings: popcorn and (Gaussian) continuous regimes","url":"/paper/1111.6638","section":"Introduction","sentence":"If strings can inter-commute and form loops that decay gravitationally or through some other channel (for example, Abelian strings), the network evolves toward a scaling regime [ref] , in which the statistical quantities that describe the network, such as the typical distance between strings and the average size of loops produced by the network, scale with the cosmic time, and the string energy density is a small constant fraction of the radiation or matter density.","intent_p":0.93,"contests_p":null},{"arxiv_id":"1312.2123","title":"Evolution of Semilocal String Networks: I. Large-scale Properties","url":"/paper/1312.2123","section":"Introduction","sentence":"This was originally though to lead to network “frustration\" implying a cosmologically catastrophic domination of strings over ordinary matter at late times [ref] .","intent_p":0.82,"contests_p":null}]}],"unlabelled_sentences":7},"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/astro-ph/9611198"}}