{"paper":{"title":"Hyperk\\\"ahler Isometries Of K3 Surfaces","arxiv_id":"2009.11769","primary_cat":"hep-th","submitted_at":"2020-09-24T15:55:39+00:00","version_compiled":"v2"},"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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$M_{23}$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.04,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.33,"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":1.0,"id":"s2","own":false,"role":"background","text":"More recently, automorphisms of K3 sigma models commuting with $SU(2)\\times SU(2)$ $R$-symmetry have been classified by Gaberdiel, Hohenegger, and Volpato.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.03,"main_claim_p":0.02,"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":3,"p":0.95,"id":"s3","own":false,"role":"background","text":"These groups are all subgroups of the Conway group.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.07,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.2,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.03,"background":0.95,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.02}},{"i":4,"p":0.94,"id":"s4","own":true,"role":"contribution","text":"We fill in a small gap in the literature and classify the possible hyperk\\\"ahler isometry groups of K3 manifolds.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.95,"main_claim_p":0.29,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.06,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.94,"interpretation":0.0}},{"i":5,"p":1.0,"id":"s5","own":true,"role":"result","text":"There is an explicit list of $40$ possible groups, all of which are realized in the moduli 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