Bibliographic record
Abstract
We apply the conformal bootstrap technique to study the U (1) Dirac spin liquid (i.e.N f = 4 QED 3 ) and the newly proposed N = 7 Stiefel liquid (i.e. a conjectured 3d non-Lagrangian CFT without supersymmetry).For the N f = 4 QED 3 , we focus on the monopole operator and (SU (4) adjoint) fermion bilinear operator.We bootstrap their single correlators as well as the mixed correlators between them.We first discuss the bootstrap kinks from single correlators.Some exponents of these bootstrap kinks are close to the expected values of QED 3 , but we provide clear evidence that they should not be identified as the QED 3 .We then provide rigorous numerical bounds for the Dirac spin liquid and the N = 7 Stiefel liquid to be stable critical phases on the triangular and kagome lattice.For the triangular and kagome Dirac spin liquid, the rigorous lower bounds of the monopole operator's scaling dimension are 1.046 and 1.105, respectively.These bounds are consistent with the latest Monte Carlo results.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.004 | 0.002 |
| Open science | 0.001 | 0.003 |
| Research integrity | 0.002 | 0.001 |
| Insufficient payload (model declined to judge) | 0.906 | 0.881 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".