A Generalisation of the Nielsen-Olesen Vortex: Non-cylindrical Strings in a modified Abelian-Higgs Model
Bibliographic record
Abstract
We modify the standard Abelian-Higgs model by introducing spatially-dependent cou-plings for the scalar and vector fields. We investigate static, non-cylindrically symmetric solutions of the resulting field equations and propose a pinch solution which interpolates between degenerate vacua along the string, labelled by ± |n|. This configuration corresponds to a vortex which shrinks to the Planck scale before re-emerging as an anti-vortex, resulting in the formation of a bead pair with one bead either side of the intersection. The solution is then topologically stable. A key assumption is that quantities such as phase and winding number, along with those which depend on them like the magnetic flux, become undefined at the Planck scale so that regions of opposite winding may be joined via a Planck-sized segment of neutral string. Similarities between this solution and the extra-dimensional windings of strings in type IIB string theory are discussed and a correspondence between field theory and string theory parameters is suggested. The spatial-dependence of the field couplings is found to have a natural interpretation in the string picture and results from the variation of the winding radius, giving rise to a varying (effective) string coupling. An interesting result is an estimate of the Higgs mass (at critical coupling) in terms of the parameters which define the Klebanov-Strassler geometry and which, in principle, may be constrained by cosmological observations. 1
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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 | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.002 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 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 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".