{"paper":{"title":"Josephson instantons and Josephson monopoles in a non-Abelian Josephson junction","arxiv_id":"1503.02060","primary_cat":"hep-th","submitted_at":"2015-03-06T20:34:49+00:00","version_compiled":"v3"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v3","sentences":[{"i":0,"p":1.0,"id":"s0","own":false,"role":"background","text":"Non-Abelian Josephson junction is a junction of non-Abelian color superconductors sandwiching an insulator, or non-Abelian domain wall if flexible, whose low-energy dynamics is described by a $U(N)$ principal chiral model with the conventional pion mass.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.09,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.29,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":1.0,"id":"s1","own":false,"role":"background","text":"A non-Abelian Josephson vortex is a non-Abelian vortex (color magnetic flux tube) residing inside the junction, that is described as a non-Abelian sine-Gordon soliton.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.13,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.94,"id":"s2","own":true,"role":"contribution","text":"In this paper, we propose Josephson instantons and Josephson monopoles, that is, Yang-Mills instantons and monopoles inside a non-Abelian Josephson junction, respectively, and show that they are described as $SU(N)$ Skyrmions and $U(1)^{N-1}$ vortices in the $U(N)$ principal chiral model without and with a twisted mass term, respectively.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.92,"main_claim_p":0.63,"quantitative":false,"quantitative_p":0.28,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.06,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.94,"interpretation":0.0}},{"i":3,"p":0.79,"id":"s3","own":false,"role":"interpretation","text":"Instantons with a twisted boundary condition are reduced (or T-dual) to monopoles, implying that ${\\mathbb C}P^{N-1}$ lumps are T-dual to ${\\mathbb C}P^{N-1}$ kinks inside a vortex.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.27,"main_claim_p":0.15,"quantitative":false,"quantitative_p":0.18,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.18,"background":0.02,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.79}},{"i":4,"p":0.94,"id":"s4","own":true,"role":"result","text":"Here we find $SU(N)$ Skyrmions are T-dual to $U(1)^{N-1}$ vortices inside a wall.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.92,"main_claim_p":0.31,"quantitative":false,"quantitative_p":0.31,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.94,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.05}},{"i":5,"p":0.98,"id":"s5","own":true,"role":"interpretation","text":"Our configurations suggest a yet another duality between ${\\mathbb C}P^{N-1}$ lumps and $SU(N)$ Skyrmions as well as that between ${\\mathbb C}P^{N-1}$ kinks and $U(1)^{N-1}$ vortices, viewed from different host solitons.","hedge":{"p":1.0,"label":"hedged_possibility"},"own_p":0.66,"main_claim_p":0.26,"quantitative":false,"quantitative_p":0.29,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.02,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.98}},{"i":6,"p":0.94,"id":"s6","own":true,"role":"interpretation","text":"They also suggest a duality between fractional instantons and bions in the ${\\mathbb C}P^{N-1}$ model and those in the $SU(N)$ principal chiral model.","hedge":{"p":1.0,"label":"hedged_possibility"},"own_p":0.63,"main_claim_p":0.16,"quantitative":false,"quantitative_p":0.25,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.06,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.94}}]},"compiled":{"main_claim":{"p":0.52,"text":"In this paper, we propose Josephson instantons and Josephson monopoles, that is, Yang-Mills instantons and monopoles inside a non-Abelian Josephson junction, respectively, and show that they are described as $SU(N)$ Skyrmions and $U(1)^{N-1}$ vortices in the $U(N)$ principal chiral model without and with a twisted mass term, respectively.","location":"abstract s2","hedge_strength":{"p":0.98,"label":"asserted"}},"provenance":{"route":{"via":"OpenRouter","model":"classifier-1.13","endpoint":"https://openrouter.ai/api/v1/systemone","provider":"TypeSafe"},"packing":"one request per 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