- Three additional candidate theories are reported.
What changed
A September 14 Nature Physics paper introduces an algorithm for generating two-dimensional lattice models associated with conformal field theories. These theories describe behaviour near certain continuous phase transitions. The method changes boundary conditions in three-dimensional topological models and uses competing anyon condensation to produce critical points. The authors recover known cases and identify three additional candidate theories.
Why it matters
A systematic construction could give theoretical physicists more examples to test, compare and classify. That is useful because linking an abstract theory to a concrete lattice model is itself a difficult part of studying critical behaviour.
What remains unproven
This is theoretical work, not a new material demonstrated in a laboratory. The additional theories remain candidates. This synthesis uses the public abstract and accompanying data-and-code availability statements; the main text requires subscription access.
Read beyond this page.
Recorded source-check date: 15 Sep 2026. A link is not, by itself, evidence that every claim has been independently verified.
Changes & version history
Version 3 · 15 Sep 2026
Scheduled release of checksum-bound AI-assisted editorial review
Version 2 · 15 Sep 2026
Checksum-bound editorial review scheduled for release
Version 1 · 15 Sep 2026
Source-linked private review edition