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We exploit this unique feature of the N=2 case to construct a deformation of the non-Abelian super-Yang-Mills theory which preserves the full N=2 supersymmetry together with the SU(2) R symmetry and Lorentz invariance. The resulting action describes a kind of \"heterotic special geometry\" with antiholomorphic prepotential $\\bar f(\\bar\\phi) = Tr (\\bar\\phi^2 (1+P\\bar\\phi)^{-2})$."},"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":"hep-th/0308021","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-08-04T14:35:03Z","cross_cats_sorted":[],"title_canon_sha256":"dd49a9e80c4b76f209729965fd356189fd9b6b30f46fdb923851d2d09613364d","abstract_canon_sha256":"8bf42b0fe6e8975ba2fa5aa8aa68446d807f98463804f3374a73cf61736d8401"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:46.819129Z","signature_b64":"6ec+j7kAKpJCjQFKEJ7YQZWgF+FewwVB/sF21kfdh7ed6FkmwpTqg2FKZ4rUudo8WGwW3tHZFjdkGEk8DhFoDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"604152cd07c2e9f204f4333a841cc073f84e3cc4a5cd593a7986dc4c1c155acf","last_reissued_at":"2026-05-18T01:38:46.818719Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:46.818719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Emery Sokatchev, Sergio Ferrara","submitted_at":"2003-08-04T14:35:03Z","abstract_excerpt":"We consider a non-anticommutative N=2 superspace with an SU(2) singlet and Lorentz scalar deformation parameter, $\\{\\theta^{\\alpha i},\\theta^{\\beta j}\\}_\\star = -2iP \\e^{\\alpha\\beta}\\e^{ij}$. 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