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In $^3$He-A, Bogoliubov quasiparticles around point nodes behave as Weyl fermions, and the nodal direction represented by the $\\ell$-vector may form a spatially modulated texture. $\\ell$-textures generate a chiral gauge field and a torsion field directly acting on the chirality of Weyl-Bogoliubov quasiparticles. It has been clarified by G. E. Volovik [Pi'sma Zh. Eksp. Teor. Fiz. {\\bf 43}, 428 (1986)] that, if the $\\ell$-vector is twisted, the chiral gauge field is"},"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":"1807.09994","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-07-26T07:54:10Z","cross_cats_sorted":[],"title_canon_sha256":"01e8de212c90194522b23a5d09b388a084ba1c395a384ccf787279ec169884c9","abstract_canon_sha256":"e79d3ff261822eee61994a0424bfe9da51246f60be47caae0133b7e0b0177509"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:34.269028Z","signature_b64":"vhcWxrK1PY4Ea8uHmtfEzQIhRDrPru3pVuDAElZr6BW51gMM7qwTQhCujzkKNjgptIHCQx37vdWIjuRCfg2eAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46086b97fe7122022baa0e70f808c733e2a53757c5a2e17f4baffcfdefdb848a","last_reissued_at":"2026-05-17T23:55:34.268481Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:34.268481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Torsional chiral magnetic effect due to skyrmion textures in a Weyl superfluid $^3$He-A","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"Atsushi Tsuruta, Satoshi Fujimoto, Takeshi Mizushima, Yusuke Ishihara","submitted_at":"2018-07-26T07:54:10Z","abstract_excerpt":"We investigate torsional chiral magnetic effect (TCME) induced by skyrmion-vortex textures in the A phase of the superfluid $^3$He. 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