{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"6ac5fceae78a6fedd49654478c2724544594693a466200a9c60584762369e1fb","created":"2026-10-03T07:17:59Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"08d68c0eb26e70dfd75eff152c67591d230885cf7411c283fa08386b86c57483","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"cm.deconfined-criticality.easy-plane-dqcp","kind":"well-posed","literature_status":"contested","n":"1","parents":[],"plain":"If the spins are restricted to rotate in a plane, the same transition may behave differently and is linked by predicted dualities to other field theories. Simulations disagree on whether it is continuous.","posed_since":"","precise":"For easy-plane (U(1) x U(1) symmetric) versions of the Neel-VBS problem, such as the easy-plane $J-Q$ model or easy-plane NCCP1 lattice gauge theories, determine whether the XY-antiferromagnet to VBS transition is continuous with emergent $O(4)$ symmetry, as self-duality predicts, or first order. An answer is the order of the transition, with exponents if continuous.","problem_ref":null,"references":"","settled_by":"Large-scale Monte Carlo of several easy-plane lattice realizations showing consistent order parameters and exponents at the transition.","status_note":"Easy-plane J-Q simulations show a first-order transition while other easy-plane lattice models appear continuous; a non-Hermitian deformation of the easy-plane J-Q model weakens the first-order jump, consistent with a complex-fixed-point scenario (Zou, Yin, Li, Yao, arXiv:2511.03456, 2025).","title":"Is the easy-plane deconfined transition 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