{"paper":{"title":"Generalized Compactification in Heterotic String Theory","arxiv_id":"1204.3247","primary_cat":"hep-th","submitted_at":"2012-04-15T10:01:09+00:00","version_compiled":"v1"},"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 v1","sentences":[{"i":0,"p":0.95,"id":"s0","own":true,"role":"contribution","text":"In this thesis, we consider heterotic string vacua based on a warped product of a four-dimensional domain wall and a six-dimensional internal manifold preserving only two supercharges.","hedge":{"p":0.96,"label":"asserted"},"own_p":0.75,"main_claim_p":0.07,"quantitative":true,"quantitative_p":0.75,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.0,"background":0.04,"limitation":0.0,"future_work":0.0,"contribution":0.95,"interpretation":0.0}},{"i":1,"p":0.88,"id":"s1","own":false,"role":"interpretation","text":"Thus, they correspond to half-BPS states of heterotic supergravity.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.23,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.39,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.03,"background":0.09,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.88}},{"i":2,"p":0.68,"id":"s2","own":true,"role":"contribution","text":"The constraints on the internal manifolds with SU(3) structure are derived.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.87,"main_claim_p":0.11,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.04,"result":0.28,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.68,"interpretation":0.0}},{"i":3,"p":0.94,"id":"s3","own":true,"role":"result","text":"They are found to be a generalization of half-flat manifolds with a particular pattern of torsion classes and they include half-flat manifolds and Strominger's complex non-Kahler manifolds as special cases.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.91,"main_claim_p":0.46,"quantitative":false,"quantitative_p":0.37,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.94,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.04}},{"i":4,"p":0.76,"id":"s4","own":true,"role":"result","text":"We also verify that heterotic compactifications on half-flat mirror manifolds are based on this class of solutions.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.86,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.09,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.76,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.19,"interpretation":0.04}},{"i":5,"p":0.95,"id":"s5","own":true,"role":"contribution","text":"Furthermore, within this context, we construct specific examples based on six-dimensional nearly-Kahler homogeneous manifolds and non-trivial vector bundles thereon.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.32,"role_probabilities":{"gap":0.0,"method":0.04,"result":0.01,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.95,"interpretation":0.0}},{"i":6,"p":0.53,"id":"s6","own":true,"role":"contribution","text":"Our solutions are based on three specific group coset spaces satisfying the half-flat torsion class conditions.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.83,"main_claim_p":0.1,"quantitative":true,"quantitative_p":0.86,"role_probabilities":{"gap":0.0,"method":0.3,"result":0.17,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.53,"interpretation":0.0}},{"i":7,"p":0.82,"id":"s7","own":true,"role":"method","text":"It is shown how to construct line bundles over these manifolds, compute their properties and build up vector bundles consistent with supersymmetry and the heterotic anomaly cancellation.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.89,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.82,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.18,"interpretation":0.0}},{"i":8,"p":0.97,"id":"s8","own":true,"role":"result","text":"It turns out that the most interesting solutions are obtained from $SU(3)/U(1)^2$.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.87,"main_claim_p":0.21,"quantitative":false,"quantitative_p":0.35,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.97,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.03}},{"i":9,"p":0.97,"id":"s9","own":true,"role":"result","text":"This space supports a large number of vector bundles leading to consistent heterotic vacua with GUT group and, for some of them, with three chiral 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