Bibliographic record
Abstract
We propose a roadmap for bootstrapping conformal field theories (CFTs) described by gauge theories in dimensions d > 2. In particular, we provide a simple and workable answer to the question of how to detect the gauge group in the bootstrap calculation.Our recipe is based on the notion of decoupling operator, which has a simple (gauge) group theoretical origin, and is reminiscent of the null operator of 2d Wess-Zumino-Witten CFTs in higher dimensions.Using the decoupling operator we can efficiently detect the rank (i.e.color number) of gauge groups, e.g., by imposing gap conditions in the CFT spectrum.We also discuss the physics of the equation of motion, which has interesting consequences in the CFT spectrum as well.As an application of our recipes, we study a prototypical critical gauge theory, namely the scalar QED which has a U (1) gauge field interacting with critical bosons.We show that the scalar QED can be solved by conformal bootstrap, namely we have obtained its kinks and islands in both d = 3 and d = 2 + dimensions.
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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 | 0.004 |
| 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 | 0.002 | 0.003 |
| Research integrity | 0.002 | 0.002 |
| Insufficient payload (model declined to judge) | 0.858 | 0.871 |
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; the direct Gemma label and the distilled Codex classifier agree on what is shown here.
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".