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SUMMARY:Hyperbolic Fracton Models: Bridging AdS/CFT and Self-Correcting Co
 de - Prof. Han YAN (Tokyo)
DTSTART:20251107T140000Z
DTEND:20251107T153000Z
UID:TALK239875@talks.cam.ac.uk
CONTACT:Bo Peng
DESCRIPTION:Fracton models—many-body systems whose excitations can only 
 appear in restricted multipole configurations—have emerged as a fertile 
 ground for exploring connections between quantum information\, topological
  phases of matter\, and exotic dynamics. In this talk\, I will introduce a
  class of classical fracton models defined on hyperbolic lattices\, i.e.\,
  lattices embedded in spaces of constant negative curvature. These models 
 exhibit two particularly intriguing features:\n\n1. Holographic behavior: 
 a subclass of the models possesses subsystem symmetries organized by fract
 al trees and\, in the low-energy limit\, realizes infinitely many copies o
 f Zabrodin’s p-adic model of AdS/CFT. Remarkably\, these models naturall
 y reproduce key features of holography\, including the Ryu-Takayanagi rela
 tion for mutual information and Rindler reconstruction.\n\n2. Self-correct
 ing memory: unlike conventional flat-space fracton models\, where the ener
 gy barrier for moving excitations grows at most logarithmically with linea
 r system size L\, in the hyperbolic setting\, the barrier grows exponentia
 lly with distance and algebraically with system size. This scaling renders
  the system intrinsically robust against local perturbations\, providing a
 n example of a self-correcting classical memory.\nTogether\, these results
  suggest that hyperbolic fracton models provide an intriguing framework fo
 r exploring emergent holography and robust information storage in strongly
  constrained many-body systems\, and perhaps a deeper connection between t
 he two.\n\nReferences: \n\nH Yan. PRB 99 (15)\, 155126\, PRB 100 (24)\, 24
 5138\, PRB 102 (16)\, 161119\, \n\nH Yan\, CB Jepsen\, Y Oz JHEP2 025 (8)\
 , 1-19
LOCATION:Seminar Room 2 - D2.002
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