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Record W4391719643 · doi:10.1080/00927872.2024.2311232

Characters in <i>p</i> -adic Heisenberg and lattice vertex operator algebras

2024· article· en· W4391719643 on OpenAlexaff
Daniel Barake, Cameron Franc

Bibliographic record

VenueCommunications in Algebra · 2024
Typearticle
Languageen
FieldMathematics
Topicadvanced mathematical theories
Canadian institutionsMcMaster University
Fundersnot available
KeywordsMathematicsVertex operator algebraOperator algebraVertex (graph theory)Algebraic numberLattice (music)Operator (biology)Pure mathematicsCharacter (mathematics)Nest algebraModular designCombinatoricsAlgebra over a fieldJordan algebraCurrent algebraMathematical analysisPhysicsGeometryNon-associative algebraGraph

Abstract

fetched live from OpenAlex

We study characters of states in p-adic vertex operator algebras. In particular, we show that the image of the character map for both the p-adic Heisenberg and p-adic lattice vertex operator algebras contain infinitely-many non-classical p-adic modular forms which are not contained in the image of the algebraic character map.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.001
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.044
Threshold uncertainty score0.723

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0010.001
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0000.000

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.

Opus teacher head0.064
GPT teacher head0.373
Teacher spread0.309 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

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".

Quick stats

Citations2
Published2024
Admission routes1
Has abstractyes

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