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Different choices of p and q, with N fixed, prove to lead to different restrictions on the target space geometry of supersymmetric nonlinear sigma-models. We classify all possible types of hyperkahler target spaces for the cases N=3 and N=4 by making use of two different realizations for the most general (p,q) supersymmetric sigma-models: (i) off-shell formulations in terms of N=3 and N=4 projective su"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1210.5906","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-22T14:39:04Z","cross_cats_sorted":[],"title_canon_sha256":"d18e2cfb5ff6b0599e8dffaff62f095f58373279433f33e6b64b96381c44dbf0","abstract_canon_sha256":"1ec4c630ecd1d3bf02bf9576a11aed096120d6b93ee1e17a75e341e8189e92f3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:55.748060Z","signature_b64":"FGOtq4PXg2aONCwEBJifKWbVRfg+OeyfKqmveVWhhBYCVXSW1hkOA7LMXquxI194ANY78ku9xlWwcMYYHIkFCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41cc7dffb7f4801a971862454c7e4482a5df1608272c2ba08269f4030dda5ac4","last_reissued_at":"2026-05-18T01:30:55.747485Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:55.747485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear sigma models with AdS supersymmetry in three dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Daniel Butter, Gabriele Tartaglino-Mazzucchelli, Sergei M. 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