Speaker: Prof. Ling Yan Hung (Janet) (Tsinghua University)
 
Start Date/Time: 2025-5-21 / 10:00 a.m. (Taipei time)
End Date/Time: 2025-5-21 / 11:30 a.m. 
 
Host: Prof. Ching-Yu Huang (THU)

Online Zoom Link: https://zoom.us/j/91356947494?pwd=IjtKbcM9ObQfbj6cAWZFySoszuKP1b.1
  
Abstract:
Is it possible to read off the quantum gravity dual of a CFT directly from its operator algebra? In this essay, we present a step-by-step recipe synthesizing results and techniques from conformal bootstrap, topological symmetries, tensor networks, a novel symmetry-preserving real-space renormalization algorithm devised originally in lattice models, and the asymptotics of quantum 6j symbols, thereby providing an answer in the affirmative. Quantum 2D Liouville theory serves as a simple and explicit example, illustrating how the quantum gravitational path integral can be built up from local pieces of BCFT correlation functions, which we call the ``BCFT Legos''. The constructive map between gravity and CFT naturally and explicitly bridges local geometrical data, algebraic structures, and quantum entanglement, as envisaged by the It from Qubit motto.

ArXiv: 2404.00877