{"paper":{"title":"Knot Invariants and M-Theory I: Hitchin Equations, Chern-Simons Actions, and the Surface Operators","arxiv_id":"1608.05128","primary_cat":"hep-th","submitted_at":"2016-08-17T23:32:05+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-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. 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operators.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.04,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.29,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.0,"background":0.99,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.99,"id":"s2","own":true,"role":"contribution","text":"In this paper we extend his construction in two possible ways.","hedge":{"p":0.62,"label":"asserted"},"own_p":0.68,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.47,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.99,"interpretation":0.0}},{"i":3,"p":0.68,"id":"s3","own":true,"role":"contribution","text":"On one hand we show that a slight modification of Witten's brane construction could lead, using certain well defined duality transformations, to the model used by Ooguri-Vafa to study knot invariants using gravity duals.","hedge":{"p":0.95,"label":"hedged_possibility"},"own_p":0.86,"main_claim_p":0.19,"quantitative":false,"quantitative_p":0.16,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.3,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.68,"interpretation":0.0}},{"i":4,"p":0.54,"id":"s4","own":true,"role":"result","text":"On the other hand, we argue that both these constructions, of Witten and of Ooguri-Vafa, lead to two different seven-dimensional manifolds in M-theory from where the topological theories may appear from certain twisting of the G-flux action.","hedge":{"p":0.64,"label":"hedged_possibility"},"own_p":0.77,"main_claim_p":0.34,"quantitative":false,"quantitative_p":0.45,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.54,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.4,"interpretation":0.05}},{"i":5,"p":0.41,"id":"s5","own":false,"role":"contribution","text":"The non-abelian nature of the topological action may also be studied if we take the wrapped M2-brane states in the theory.","hedge":{"p":1.0,"label":"hedged_possibility"},"own_p":0.41,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.25,"result":0.03,"background":0.0,"limitation":0.0,"future_work":0.06,"contribution":0.41,"interpretation":0.25}},{"i":6,"p":0.76,"id":"s6","own":true,"role":"contribution","text":"We discuss explicit constructions of the seven-dimensional manifolds in M-theory, and show that both the localization equations and surface operators appear naturally from the Hamiltonian formalism of the theories.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.92,"main_claim_p":0.19,"quantitative":false,"quantitative_p":0.14,"role_probabilities":{"gap":0.0,"method":0.05,"result":0.19,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.76,"interpretation":0.0}},{"i":7,"p":0.58,"id":"s7","own":true,"role":"result","text":"Knots and link invariants are then 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