{"paper":{"title":"Evading the Lyth Bound in Hybrid Natural Inflation","arxiv_id":"1305.1947","primary_cat":"hep-th","submitted_at":"2013-05-08T20:15:27+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":"Generically, the gravitational-wave or tensor-mode contribution to the primordial curvature spectrum of inflation is tiny if the field-range of the inflaton is much smaller than the Planck scale.","hedge":{"p":0.9,"label":"asserted"},"own_p":0.05,"main_claim_p":0.03,"quantitative":true,"quantitative_p":0.85,"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":0.49,"id":"s1","own":true,"role":"contribution","text":"We show that this pessimistic conclusion is naturally avoided in a rather broad class of small-field models.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.88,"main_claim_p":0.69,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.07,"method":0.0,"result":0.43,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.49,"interpretation":0.01}},{"i":2,"p":0.57,"id":"s2","own":false,"role":"contribution","text":"More specifically, we consider models where an axion-like shift symmetry keeps the inflaton potential flat (up to non-perturbative cosine-shaped modulations), but inflation nevertheless ends in a waterfall-regime, as is typical for hybrid inflation.","hedge":{"p":0.94,"label":"asserted"},"own_p":0.31,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.43,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.57,"interpretation":0.0}},{"i":3,"p":0.44,"id":"s3","own":true,"role":"result","text":"In such hybrid natural inflation scenarios (examples are provided by Wilson line inflation and fluxbrane inflation), the slow-roll parameter $\\epsilon$ can be sizable during an early period (relevant for the CMB spectrum).","hedge":{"p":0.54,"label":"asserted"},"own_p":0.67,"main_claim_p":0.13,"quantitative":false,"quantitative_p":0.25,"role_probabilities":{"gap":0.0,"method":0.24,"result":0.44,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.32,"interpretation":0.0}},{"i":4,"p":0.73,"id":"s4","own":true,"role":"result","text":"Subsequently, $\\epsilon$ quickly becomes very small before the tachyonic instability eventually terminates the slow roll regime.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.63,"main_claim_p":0.07,"quantitative":true,"quantitative_p":0.54,"role_probabilities":{"gap":0.0,"method":0.18,"result":0.73,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.08,"interpretation":0.01}},{"i":5,"p":0.99,"id":"s5","own":true,"role":"result","text":"In this scenario, one naturally generates a considerable tensor-mode contribution in the curvature spectrum, collecting nevertheless the required amount of e-foldings during the final period of inflation.","hedge":{"p":0.97,"label":"asserted"},"own_p":0.77,"main_claim_p":0.65,"quantitative":false,"quantitative_p":0.19,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}},{"i":6,"p":0.99,"id":"s6","own":false,"role":"interpretation","text":"While non-observation of tensors by Planck is certainly not a problem, a discovery in the medium to long term future is realistic.","hedge":{"p":0.92,"label":"hedged_possibility"},"own_p":0.11,"main_claim_p":0.1,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.01,"contribution":0.0,"interpretation":0.99}}]},"compiled":{"main_claim":{"p":0.82,"text":"We show that this pessimistic conclusion is 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