Ling-Yan Hung

An algorithm to generate two-dimensional critical lattice models using competing anyon condensation

Kaixin Ji, Yu Zhao, Ce Shen, Yidun Wan et autres

cn (code pays fourni par la source)

It from ETH: multi-interval entanglement and replica wormholes from large-c BCFT ensemble

Hao Geng, Ling-Yan Hung, Yikun Jiang

A bstract We provide a derivation of the Ryu-Takayanagi (RT) formula in 3D gravity for generic boundary subregions — including RT surface phase transitions — directly from the dual two-dimensional conformal field theory (CFT). Our approach relies on the universal statistics of …

us, es, cn, mx (code pays fourni par la source)

Deriving the non-perturbative gravitational dual of quantum Liouville theory from BCFT operator algebra

Lin Chen, Ling-Yan Hung, Yikun Jiang, Bing-Xin Lao

We demonstrate that, by utilizing the boundary conformal field theory (BCFT) operator algebra of the Liouville CFT, one can express its path-integral on any Riemann surface as a three dimensional path-integral with appropriate boundary conditions, generalising the recipe for rational CFTs. This …

cn, es, mx, fr (code pays fourni par la source)

A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation in SymTO

Ling-Yan Hung, Kaixin Ji, Ce Shen, Yu Zhao et autres

cn, es (code pays fourni par la source)

A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation Processes in SymTO/SymTFT

Ling-Yan Hung, Kaixin Ji, Ce Shen, Yidun Wan et autres

In this paper, we introduce a ``CFT factory'' : a novel algorithm of methodically generating 2D lattice models that would flow to 2D conformal fixed points in the infrared. These 2D models are realised by giving critical boundary conditions to 3D topological …

Universal Structures and Emergent Geometry from Large-$c$ BCFT Ensemble

Ling-Yan Hung, Yikun Jiang, Bing-Xin Lao

In this paper, we study the ensemble average of boundary CFT (BCFT) data consistent with the bootstrap equations. We apply the results to computing ensemble average of copies of multi-point correlation functions of boundary changing operators (BCO), and find the results in …

Precision Reconstruction of Rational Conformal Field Theory from Exact Fixed-Point Tensor Network

Gong Cheng, Lin Chen, Zheng‐Cheng Gu, Ling-Yan Hung

The novel concept of entanglement renormalization and its corresponding tensor network renormalization technique have been highly successful in developing a controlled real-space renormalization group (RG) scheme. Numerically approximate fixed-point (FP) tensors are widely used to extract the conformal data of the underlying …

us, cn, hk (code pays fourni par la source)

QG from SymQRG: AdS$_3$/CFT$_2$ Correspondence as Topological Symmetry-Preserving Quantum RG Flow

Ning Bao, Ling-Yan Hung, Yikun Jiang, Zhihan Liu

By analyzing non-perturbative RG flows that explicitly preserve given topological symmetries, we show that each of their coarse-graining steps can be expressed as a quantum path integral of the SymTFT in one higher dimension. When the symmetries involved include the Virasoro defect …

Deriving non-perturbative gravity dual of quantum Liouville theory from BCFT operator algebra

Ling-Yan Hung, Lin Chen, Yikun Jiang, Bing-Xin Lao

cn, mx, fr (code pays fourni par la source)

CFT D from TQFT D + 1 via Holographic Tensor Network, and Precision Discretization of CFT 2

Lin Chen, Kaixin Ji, Hao-Chen Zhang, Ce Shen et autres

We show that the path integral of conformal field theories in D dimensions ( CFT D ) can be constructed by solving for eigenstates of a renormalization group (RG) operator following from the Turaev-Viro formulation of a topological field theory (topological quantum …

cn, us, es (code pays fourni par la source)

Building up quantum spacetimes with BCFT Legos

Ling-Yan Hung, Yikun Jiang

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 …

Precision reconstruction of rational CFT from exact fixed point tensor network

Gong Cheng, Chen Lin, Zheng‐Cheng Gu, Ling-Yan Hung

The novel concept of entanglement renormalization and its corresponding tensor network renormalization technique have been highly successful in developing a controlled real space renormalization group (RG) scheme. Numerically approximate fixed-point (FP) tensors are widely used to extract the conformal data of the …