{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"eb3009bc248fc2e96360eae00bb3f2e8ad8464f408fb21a052afbdeec88f6ae6","created":"2026-10-03T07:17:59Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011","ce36e15bb4332d4bcb32c2045db391830362d43f19ab94902e38b2712d0abd09"],"salt":"39c5896fa7eb07bc74206cd00471f4bc6ea2065f83cc569ea16d005e5ac7699c","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"cm.deconfined-criticality.complex-fixed-points","kind":"well-posed","literature_status":"contested","n":"1","parents":[{"note":"","parent_revision":"ce36e15bb4332d4bcb32c2045db391830362d43f19ab94902e38b2712d0abd09","relation":"special_case"}],"plain":"One explanation of the slow drift is that the true critical point has moved slightly into complex values of the couplings, so the system behaves almost critically over a very large range of lengths. This idea predicts specific scaling dimensions that can be computed and checked.","posed_since":"","precise":"For the $SO(5)$-symmetric Neel-VBS problem (NCCP1 or QED3 with $N_f = 2$ description), test the scenario of two nearly merged complex conformal fixed points: compute the real and imaginary parts of the scaling dimensions of the leading singlet and of the $SO(5)$ vector and tensor operators, and the predicted length $\\xi*$ beyond which first-order behavior appears. An answer gives these numbers and a quantitative comparison with lattice drifts of $\\nu$ and $\\eta$.","problem_ref":null,"references":"","settled_by":"Fuzzy-sphere or non-Hermitian lattice computations of complex scaling dimensions that quantitatively reproduce the lattice drifts of $\\nu$ and $\\eta$ and the observed first-order length scale.","status_note":"Fuzzy-sphere studies since 2023 report approximate conformal symmetry and operator spectra consistent with nearly real complex fixed points; a quantitative match to the lattice drifts is lacking.","title":"Do complex fixed points explain the pseudocritical drift at deconfined transitions?","topic_ref":"2349550dc7ce2650de0f02331c77da4c02e3e4166a157a99e1d2814209a4678f"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"ab0808a789362c8c6a8efe941b1eba3913e8fa165f62fe1e8c89db48d59cc057","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"b587054a3764bdd090b27f10d3e5d14e823a7191c86932e14273288d264f2fda","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"jPgCDcyyU1tMoC3AwNfFM7bWxRtrd7TIlRqKwpA6UBLoXaVOD_C1hWqa3DrW7hjqLCdr_JEdqk0lXrrfzyVNCg"},"schema":"pubphys.envelope/1"},"record_hash":"ab0808a789362c8c6a8efe941b1eba3913e8fa165f62fe1e8c89db48d59cc057","leaf_index":942}