Report on scipost_202411_00019v1
Bibliographic record
Abstract
Boundaries not only are fundamental elements in nearly all realistic physical systems, but also greatly enrich the structure of quantum field theories.In this paper, we demonstrate that conformal field theory (CFT) with a boundary, known as surface CFT in three dimensions, can be studied with the setup of fuzzy sphere.We consider the example of surface criticality of the 3d Ising CFT.We propose two schemes by cutting a boundary in the orbital space and the real space respectively to realise the ordinary and the normal surface CFTs on the fuzzy sphere.We obtain the operator spectra through state-operator correspondence.We observe integer spacing of the conformal multiplets, and thus provide direct evidence of conformal symmetry.We identify the ordinary surface primary 𝒐, the displacement operator D and their conformal descendants and extract their scaling dimensions.We also study the onepoint and two-point correlation functions and extract the bulk-to-surface OPE coefficients, some of which are reported for the first time.In addition, using the overlap of the bulk CFT state and the polarised state, we calculate the boundary central charges of the 3d Ising surface CFTs non-perturbatively.Other conformal data obtained in this way also agrees with prior methods.We also discuss future directions, such as special surface CFT, cone defects, and surfaces of other bulk CFTs.SciPost Physics Submission 5 Real space boundary scheme 17 6 Boundary central charge and OPE from wavefunction overlap 18 7 Discussion and summary 21 A Effective Hamiltonian after pinning orbitals 22 B Conformal perturbation 23 C Complementary data 25 C.1 DMRG convergence test 25 C.2 Results under different calibration 27 C.3 Scaling dimensions of the conformal multiplets 28 C.4 Extraction of bulk scaling dimensions from correlation functions 29 C.5 More correlation functions in the real-space boundary scheme 30 C.6 Finite size correspondence between energy and entanglement spectrum 31 References 32
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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 | 0.003 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.002 | 0.001 |
| Scholarly communication | 0.007 | 0.003 |
| Open science | 0.002 | 0.004 |
| Research integrity | 0.004 | 0.003 |
| Insufficient payload (model declined to judge) | 0.944 | 0.877 |
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".