Surface operators and exact holography
Bibliographic record
Abstract
A bstract Surface operators are nonlocal probes of gauge theories capable of distinguishing phases that are not discernible by the classic Wilson-’t Hooft criterion. We prove that the correlation function of a surface operator with a chiral primary operator in $$ \mathcal{N} $$ N = 4 super Yang-Mills is a finite polynomial in the Yang-Mills coupling constant. Surprisingly, in spite of these observables receiving nontrivial quantum corrections, we find that these correlation functions are exactly captured in the ’t Hooft limit by supergravity in asymptotically AdS 5 × S 5 [1] ! We also calculate exactly the surface operator vacuum expectation value and the correlator of a surface operator with 1/8-BPS Wilson loops using supersymmetric localization. We demonstrate that these correlation functions in $$ \mathcal{N} $$ N = 4 SYM realize in a nontrivial fashion the conjectured action of S -duality. Finally, we perturbatively quantize $$ \mathcal{N} $$ N = 4 SYM around the surface operator singularity and identify the Feynman diagrams that, when summed over, reproduce the exact result obtained by localization.
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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) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.003 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.004 | 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".