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In order to trap fermions on the asymmetric branes with kink-like warp factors, the couplings with the background scalars $\\eta\\bar{\\Psi}F(\\chi,\\phi)\\Psi$ are introduced, where $F(\\chi,\\phi)$ is a function of $\\phi$ and $\\chi$. We find that the coupling $\\eta\\bar{\\Psi}\\chi\\phi\\Psi$ do not support the localization of 4-dimensional fermions on the branes. While, for the case $\\eta\\bar{\\Psi}\\chi\\Psi+\\eta'\\bar{\\Psi}\\phi\\Psi$, which is the kink-fermion coupling correspond"},"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":"0911.2572","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-11-13T09:05:05Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"7488b04055ddabdfcc9a0b0816a46b7e38c4e064ada917d9a69c7fea38e2312f","abstract_canon_sha256":"1eb1835dac30051ea4b8dd033f0bd4eafa3498d0076ec6e06bdbaaede250aab0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:10.994783Z","signature_b64":"5LnU3ZEKmz8PHQWT2Ynu0FsLev3U/sUXAT3458seGoAwhaX7/AQosMP+j05smYHzpqxct/d6aeQjOW/b/XWdCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ea7f5f015bee4f94fa9e980fbfb9d92d250fcc59fd23df229bfa07700086732","last_reissued_at":"2026-05-18T02:34:10.994282Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:10.994282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fermion localization on asymmetric two-field thick branes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Hai-Tao Li, Yu-Xiao Liu, Zhen-hua Zhao","submitted_at":"2009-11-13T09:05:05Z","abstract_excerpt":"In this paper we investigate the localization of fermions on asymmetric thick branes generated by two scalars $\\phi$ and $\\chi$. 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