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High Energy Physics - Theory

arXiv:1805.02665 (hep-th)
[Submitted on 7 May 2018 (v1), last revised 12 Dec 2019 (this version, v2)]

Title:Conformal Quasicrystals and Holography

Authors:Latham Boyle, Madeline Dickens, Felix Flicker
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Abstract:Recent studies of holographic tensor network models defined on regular tessellations of hyperbolic space have not yet addressed the underlying discrete geometry of the boundary. We show that the boundary degrees of freedom naturally live on a novel structure, a conformal quasicrystal, that provides a discrete model of conformal geometry. We introduce and construct a class of one-dimensional conformal quasicrystals, and discuss a higher-dimensional example (related to the Penrose tiling). Our construction permits discretizations of conformal field theories that preserve an infinite discrete subgroup of the global conformal group at the cost of lattice periodicity.
Comments: v1: 8 pages, 4 figures; v2: 9 pages, 4 figures, expanded Introduction and Discussion, added references, matches version to be published in PRX
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph); Quantum Physics (quant-ph)
Cite as: arXiv:1805.02665 [hep-th]
  (or arXiv:1805.02665v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.02665
Journal reference: Phys. Rev. X 10, 011009 (2020)
Related DOI: https://doi.org/10.1103/PhysRevX.10.011009

Submission history

From: Madeline Dickens [view email]
[v1] Mon, 7 May 2018 18:00:02 UTC (6,078 KB)
[v2] Thu, 12 Dec 2019 23:33:09 UTC (5,988 KB)
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