Invariants for finite dimensional groups in vertex operator algebras associated to basic representations of affine algebras
Bibliographic record
Abstract
. We investigate the invariant vertex operator subalgebras of the vertex operator algebras associated with the A ; D ; E series of simply laced root lattices and the related affine algebras. We also discuss certain generalized Casimir operators which may be related to the action of a central extension of the lie algebra of differential operators on the circle introduced by Kac, Radul et al. One motivation for this work lies in work on elliptic genera by the second author, while work of Dong and Mason provides a more algebraic setting for such calculations. Introduction. Vertex operator algebras have been the focus of considerable attention from various viewpoints and for numerous reasons relating to their appearance in diverse parts of mathematics. Even the most familiar examples may still generate interesting questions. One developing application of vertex operator algebras is to the theory of elliptic genera as described by the second author [9,10], where attention is focused on cer...
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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 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.002 | 0.003 |
| Scholarly communication | 0.002 | 0.003 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.006 | 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 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".