{
  "abstract": "In this article, we apply the idea of emergent symmetries to construct holographic representations of a broad class of topological quantum critical points (tQCPs) that appear in fermionic classes in the Bott clock. We show explicitly that around the Bott clock, an emergent symmetry $U_{EM}$ exists at a tQCP between different symmetry protected gapped phases with protecting symmetry $G_p$ in $d$ spatial dimensions. This emergent symmetry can be used to construct a $(d+1)$ spatial dimensional lattice model with a properly upgraded symmetry such as $U_{EM}\\times G_p$ or $U_{EM} \\rtimes G_p$, etc. By doubling the degrees of freedom of the adjacent topological class in $d$-dimensions, we successfully show that the $(d+1)$-dimensional lattice models constructed in this way have the desired enlarged symmetry groups that precisely belong to the adjacent topological classes, counterclockwise around the Bott clock. Furthermore, $d$-dimensional boundaries of these $(d+1)$ dimensional lattice models of gapped topological classes are shown to exhibit identical infrared dynamics as the corresponding tQCPs in the $d$-dimensional adjacent topological phases in the Bott clock, with lower symmetries.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.30335",
  "author_total": 2,
  "authors": [
    {
      "name": "Fan Yang"
    },
    {
      "name": "Fei Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b1ak5fnefqre7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30335",
  "fulltext_url": null,
  "id": "b1ak5fnefqre7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.30335",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7204952513",
  "pdf_url": "https://arxiv.org/pdf/2608.30335",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b1ak5fnefqre7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.30335",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30335"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Holographic Representations of Topological Quantum Criticality: Emergent Symmetry Approach around the Bott Clock",
  "title_text": "Holographic Representations of Topological Quantum Criticality: Emergent Symmetry Approach around the Bott Clock",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/b1ak5fnefqre7",
  "venue": "arXiv",
  "versions": []
}