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[ref] : S^1+1=β/2 ∫dt dz (∂_j n^k)^2,where: β=2 π/e_3^2 ∫r dr { ρ'^2+f_3^2 (1-ρ)^2/r^2+ λ_3^2 (1-ρ)^2+ .","intent_p":0.97,"contests_p":null},{"arxiv_id":"0805.0602","title":"The Dynamics of Chern-Simons Vortices","url":"/paper/0805.0602","section":"Introduction","sentence":"We further study the dynamics of non-Abelian $U(N)$ vortices introduced in [ref] in the presence of Chern-Simons interactions.","intent_p":0.91,"contests_p":null},{"arxiv_id":"1002.0850","title":"Low-energy U(1) x USp(2M) gauge theory from simple high-energy gauge group","url":"/paper/1002.0850","section":"Introduction","sentence":"As was done in a series of investigations [ref] for $SU(N)$ gauge theories, we take one step further here and break the remaining gauge symmetry completely at a much lower mass scale.","intent_p":0.96,"contests_p":null},{"arxiv_id":"1007.2116","title":"Non-Abelian vortex dynamics: Effective world-sheet action","url":"/paper/1007.2116","section":"Introduction","sentence":"In particular our aim is to construct the low-energy effective action describing the fluctuations of the orientational moduli parameters on the vortex worldsheet, generalizing the results found several years ago in the context of $U(N)$ models [ref] - [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1106.4214","title":"Non-Abelian monopole-vortex complex","url":"/paper/1106.4214","section":"Conclusion","sentence":"Extending the direct derivation of the $2d$ vortex worldsheet sigma models on $ℂP^N-1$ [ref] (or in Hermitian symmetric spaces, $SO(2N)/U(N)$, $USp(2N)/U(N)$, etc., depending on the model considered [ref] ) to the case of monopole-vortex complex is a somewhat non-trivial task, presently under investigation.","intent_p":0.93,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":3,"sentences":5,"quotes":[{"arxiv_id":"0709.1910","title":"Type I Non-Abelian Superconductors in Supersymmetric Gauge Theories","url":"/paper/0709.1910","section":"Single vortex","sentence":"For the gauge field components $A_0,3$, we will use the same ansatz as used in Refs. 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This model features exactly the same field multiplets, on $^2$, as the YMH system supporting the 't Hooft-Polyakov monopole on $^3$, differing from the two-Higgs models of [ref] and those supporting $Z_N$ vortices, and obviously from the SQCD models of [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"0708.4091","title":"Non-Abelian Global Strings at Chiral Phase Transition","url":"/paper/0708.4091","section":"String Solutions","sentence":"These modes are non-normalizable (in an infinite region) whereas the corresponding modes are normalizable in the local case [ref] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"1001.5236","title":"Maximally Non-Abelian Vortices from Self-dual Yang--Mills Fields","url":"/paper/1001.5236","section":"Introduction","sentence":"This situation is quite analogous to the non-abelian vortices in $U(N)$ gauge theories [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"0810.3201","title":"Non-Abelian k-Vortex Dynamics in N=1^* theory and its Gravity Dual","url":"/paper/0810.3201","section":"Effective world-sheet theory","sentence":"The absence of supersymmetry makes the present situation different from BPS non-Abelian vortex strings in $N=2$ SQCD [ref] and also different from the Heterotic vortex string discussed in Refs. 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