Metraipolis › archive › dc_d299698ebdd5

Reconstruction of the conformal algebra from a critical groundstate on the (fuzzy) sphere — arXiv:2611.03817

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.03817
License (as archived): CC0-1.0
Archived: 2026-11-04T13:02:35.776Z
SHA-256 of the archived text: 07d68f5f15ed84fb3fd7564e925016b07f7efb571587040c81b125585d94c7da
Stable URL of this page: https://metraipolis.com/documento/dc_d299698ebdd5

How to cite

Reconstruction of the conformal algebra from a critical groundstate on the (fuzzy) sphere — arXiv:2611.03817 — arXiv (en), https://arxiv.org/abs/2611.03817 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_d299698ebdd5 (Metraipolis archive dc_d299698ebdd5, sha256 07d68f5f15ed84fb3fd7564e925016b07f7efb571587040c81b125585d94c7da)

BibTeX

@misc{dcd299698ebdd5,
  title = {Reconstruction of the conformal algebra from a critical groundstate on the (fuzzy) sphere — arXiv:2611.03817},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.03817},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_d299698ebdd5; sha256 07d68f5f15ed84fb3fd7564e925016b07f7efb571587040c81b125585d94c7da},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.03817. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Recently, we found a method to reconstruct the dilatation operator (sphere Hamiltonian) from a regulated conformal field theory groundstate. In this paper, we explore methods to construct the whole global conformal algebra, and test our construction using fuzzy sphere regularization. Starting from a groundstate of the same Hamiltonian, these methods perform better than constructions of the conformal generators based on a Hamiltonian density, are model-independent, require no additional tuning, and improve with system size. One purpose of reconstructing the conformal algebra is to identify conformal primary states, which we do with some success. We also find further evidence supporting the model of the short-distance corrections to the entanglement Hamiltonian proposed earlier and use it to make systematic improvements.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: High Energy Physics - Theory (hep-th) ; Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2611.03817 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-04T12:36:48.070Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).