Seiberg-Witten and “Polyakov-like” magnetic bion confinements are continuously connected
Bibliographic record
Abstract
We study four-dimensional $ \mathcal{N} = 2 $ supersymmetricpure-gauge (Seiberg-Witten) theory and its $ \mathcal{N} = 1 $ mass perturbation by using compactification on $ {\mathbb{S}^1} \times {\mathbb{R}^3} $ . It is well known that on $ {\mathbb{R}^4} $ (or at large $ {\mathbb{S}^1} $ size L) the perturbed theory realizes confinement through monopole or dyon condensation. At small $ {\mathbb{S}^1} $ , we demonstrate that confinement is induced by a generalization of Polyakov’s three-dimensional instanton mechanism to a locally four-dimensionaltheory — the magneticbion mechanism — which also applies to a large class of nonsupersymmetric theories. Using a large-vs. small-L Poisson duality, we show that the two mechanisms of confinement, previously thought to be distinct, are in fact continuously connected.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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 teacher head, 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".