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Focusing on the cases relevant for strings moving in AdS_3 x S^3 x T^4 and AdS_3 x S^3 x S^3 x S^1, we analyze the corresponding deformations of the AdS_3 and S^3 metrics. We also construct a two-parameter $q$-deformation of the u(1) + psu(1|1)^2 x u(1) x R^3-invariant R-matrix and closure condition, which underlie th"},"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":"1411.1266","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-05T13:19:24Z","cross_cats_sorted":[],"title_canon_sha256":"539566e265b5ba67524acfe0352c724f4424305f14c6a977db6226345bf663f9","abstract_canon_sha256":"7b31b5559e0261bfbdd1bf8f402f5a51f70a35cd7a838072ea7c2ef19ca1a25d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:02.593098Z","signature_b64":"Ssyd/48ulbyOg2Buf8ovXOc65OedVFv0rT8jR5C+w1JjrVld2UJsPecnuGzOY7u1bbQWs6hAM+lMUzzK6XdEDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f029e72480b6574dfc2afc3e7197de55866249734a6b162daca445e729d98f26","last_reissued_at":"2026-05-18T02:04:02.592532Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:02.592532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ben Hoare","submitted_at":"2014-11-05T13:19:24Z","abstract_excerpt":"We construct a two-parameter deformation of the Metsaev-Tseytlin action for supercosets with isometry group of the form G x G. 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