期刊
PHYSICAL REVIEW X
卷 10, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevX.10.011009
关键词
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资金
- NSERC
- National Science Foundation
- Perimeter Institute for Theoretical Physics
- English Speaking Union
- Government of Canada through the Department of Innovation, Science and Economic Development
- Province of Ontario through the Ministry of Research and Innovation
- New College, Oxford
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.
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