Improving 3d Ising OPE Coefficients with Fuzzy Sphere Conformal Generators
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917248722010112 |
|---|---|
| author | Fardelli, Giulia Fitzpatrick, A. Liam Katz, Emanuel |
| author_facet | Fardelli, Giulia Fitzpatrick, A. Liam Katz, Emanuel |
| contents | We use the $K$ special conformal generator in the Fuzzy sphere setup of the Ising CFT to determine primary states. For $Δ\lesssim 8$, we recover the known primaries and find several new ones, including in the parity-odd sector. We then use these primaries to compute OPE coefficients. We find that using primaries constructed from special-$K$ allows for better extrapolation of OPE coefficients to the CFT limit, because of the existence of an $O(1)$ gap between primaries and descendants in the spectrum of eigenvalues of $|K|^2$ which protects the primaries from strongly mixing with descendants. We compare the CFT data we obtain with the Eigenstate Thermalization Hypothesis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_04958 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Improving 3d Ising OPE Coefficients with Fuzzy Sphere Conformal Generators Fardelli, Giulia Fitzpatrick, A. Liam Katz, Emanuel High Energy Physics - Theory Statistical Mechanics We use the $K$ special conformal generator in the Fuzzy sphere setup of the Ising CFT to determine primary states. For $Δ\lesssim 8$, we recover the known primaries and find several new ones, including in the parity-odd sector. We then use these primaries to compute OPE coefficients. We find that using primaries constructed from special-$K$ allows for better extrapolation of OPE coefficients to the CFT limit, because of the existence of an $O(1)$ gap between primaries and descendants in the spectrum of eigenvalues of $|K|^2$ which protects the primaries from strongly mixing with descendants. We compare the CFT data we obtain with the Eigenstate Thermalization Hypothesis. |
| title | Improving 3d Ising OPE Coefficients with Fuzzy Sphere Conformal Generators |
| topic | High Energy Physics - Theory Statistical Mechanics |
| url | https://arxiv.org/abs/2602.04958 |