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In the limit where a circle in the internal torus decompactifies, the $\\nabla^2(\\nabla\\Phi)^4$ coupling reduces to the $D^2 F^4$ and $R^2 F^2$ couplings in $D=4$, along with an infinite series of corrections of order $e^{-R}$, from four-dimensional 1/4-BPS d"},"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":"1608.01660","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-04T19:50:42Z","cross_cats_sorted":[],"title_canon_sha256":"e7fd117e85ca83a9498caa6e2ab3b2643e1d617aa5a83216ce9328bfee1dca6d","abstract_canon_sha256":"996e7dc7dce1db3abce70569495777607dd9190236c8b50021613aaddebf4900"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:19.924373Z","signature_b64":"6AM21I4pFcs4121AaACKagE5O0hUBmvaRbsPWZZeVEwiAK7gx/O41B4ud+PSAduIo2fthOVfA03iD0zwWeqxCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"092874541fc30696a20b62bfcaecf2c3fbb60bc4cdebc5576e72031c5653ef45","last_reissued_at":"2026-05-18T00:54:19.924001Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:19.924001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Protected couplings and BPS dyons in half-maximal supersymmetric string vacua","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Boris Pioline, Charles Cosnier-Horeau, Guillaume Bossard","submitted_at":"2016-08-04T19:50:42Z","abstract_excerpt":"We analyze four- and six-derivative couplings in the low energy effective action of $D=3$ string vacua with half-maximal supersymmetry. 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