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Phase transition from eigenstate thermalization: forbidden singularity and instanton proliferation via AGT correspondence — arXiv:2608.13246

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.13246
License (as archived): CC0-1.0
Archived: 2026-10-19T04:11:12.588Z
SHA-256 of the archived text: 097c10ef6f2eaafabe5eadf11825f22fa0f4456ea790c0b203c3702c89241ac2
Stable URL of this page: https://metraipolis.com/documento/dc_ed080c1ace0d

How to cite

Phase transition from eigenstate thermalization: forbidden singularity and instanton proliferation via AGT correspondence — arXiv:2608.13246 — arXiv (en), https://arxiv.org/abs/2608.13246 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ed080c1ace0d (Metraipolis archive dc_ed080c1ace0d, sha256 097c10ef6f2eaafabe5eadf11825f22fa0f4456ea790c0b203c3702c89241ac2)

BibTeX

@misc{dced080c1ace0d,
  title = {Phase transition from eigenstate thermalization: forbidden singularity and instanton proliferation via AGT correspondence — arXiv:2608.13246},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.13246},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ed080c1ace0d; sha256 097c10ef6f2eaafabe5eadf11825f22fa0f4456ea790c0b203c3702c89241ac2},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.13246. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In theoretical physics, finding connections between problems that appear in distinct contexts is an important way to leapfrog progresses, often by illuminating deep aspects that may otherwise seem obscure. In this paper, we consider in 2d CFTs the phenomenon of forbidden singularities in auto-correlation functions -- a key signature of eigenstate thermalization. We show that they correspond to phase transitions in the context of eigenstates. The connection is made explicit by utilizing the AGT correspondence, which relates eigenstate auto-correlations to the Nekrasov partition functions describing an instanton gas of the $\mathcal{N}=2$ SUSY gauge theories. We show that by taking the counter-part of the heavy-light limit, two phases emerge for the instanton gas. They are dominated by configurations represented by string-like Young tableaux with distinct structures and thermodynamic properties, which bare resemblance to the confined and the deconfined phases. A phase transition occurs as instantons proliferate from one side, in a manner that mimics the Lee-Yang theory. We work out the critical fugacity and find it corresponding exactly to the forbidden singularity.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-17 in cond-mat.stat-mech).
Categorie arXiv: High Energy Physics - Theory (hep-th) ; Statistical Mechanics (cond-mat.stat-mech).
Pagina del lavoro: https://arxiv.org/abs/2608.13246 — 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 2026-10-19T04:04:22.389Z dalla pagina https://arxiv.org/catchup/cond-mat.stat-mech/2026-08-17?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).