Navigating string theory field space with geometric flows
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
The Swampland Distance Conjecture postulates the emergence of an infinite\ntower of massless states when approaching infinite-distance points in moduli\nspace. However, most string backgrounds are supported by fluxes, and therefore\ndepart from the purely geometric paradigm. This fact requires an extension of\nthe Swampland conjectures to scalar field spaces with non-trivial potentials,\nrather than just moduli spaces. To address this task, we utilise geometric\nflows, in particular generalised Ricci flow, to probe the associated scalar\nfield spaces. Considering internal spaces supported by three-form fluxes, we\nfirst show that the distance defined in terms of the Perelman entropy\nfunctional needs to be refined in order to encompass fluxes. Doing so, we\nextend the Ricci Flow Conjecture to include Kalb-Ramond flux besides the metric\nand the dilaton field. This allows us to probe infinite-distance points within\nthese scalar field spaces in a purely geometric way. We subsequently construct\na geometric flow for internal manifolds supported by Ramond-Ramond fluxes and\ndiscuss its role in the Ricci Flow Conjecture. Our analysis suggests that in\nthe presence of fluxes the Distance Conjecture might be better characterised in\nterms of a cost function on the space of metrics, rather than a genuine\ndistance.\n
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.005 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.002 | 0.004 |
| Research integrity | 0.000 | 0.002 |
| Insufficient payload (model declined to judge) | 0.000 | 0.001 |
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 it