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We solve the equations of motion of these strings and obtain their dispersion relation to the leading order in the Neveu-Schwarz flux $b$. We show that dispersion relation for the spinning strings with large spin ${\\cal S}$ acquires a term given by $-\\frac{\\sqrt{\\lambda}}{2\\pi} b^2\\log^2 {\\cal S}$ in addition to the usual $\\frac{\\sqrt\\lambda}{\\pi} \\log {\\cal S}$ term where $\\sqrt{\\lambda}$"},"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":"1405.2687","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-12T09:41:55Z","cross_cats_sorted":[],"title_canon_sha256":"8fc4750ed751e530262fdf572e6892c47677cccaefda3e4c4dae87ecd345308a","abstract_canon_sha256":"5b600d2aa798344ed5087a422d8cc42549289f05ecef250ea9085e51246ac0b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:15.150105Z","signature_b64":"y1t+nvAI3AKVmlHjvQ+b67swa3qZgsW0V8zNE4aRzhyGFPuTweMWwKF12heWH2UhUW/6pi9A4MU9r9AZpgGQDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d621235c326f2aee7ef84346c548d2339d907cf9a2a9d91cbca72c4769f7ca8a","last_reissued_at":"2026-05-18T01:43:15.149576Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:15.149576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spinning strings and minimal surfaces in $AdS_3$ with mixed 3-form fluxes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Abhishake Sadhukhan, Justin R. 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