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Category and Topological Order Seminar
Category and Topological Order Seminar
Topological Wick rotation and holographic duality II
Topological Wick rotation and holographic duality II
Organizer
Speaker
Liang Kong
Time
Tuesday, October 4, 2022 9:30 AM - 11:00 AM
Venue
Online
Online
Tencent 607 3645 0351
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Abstract
I will explain a new type of holographic dualities between n+1D topological orders with a chosen boundary condition and nD (potentially gapless) quantum liquids. It is based on the idea of topological Wick rotation, a notion which was first used in arXiv:1705.01087 and was named, emphasized and generalized later in arXiv:1905.04924. Examples of these holographic dualities include the duality between 2+1D toric code model and 1+1D Ising chain and its finite-group generalizations (independently discovered by many others); those between 2+1D topological orders and 1+1D rational conformal field theories; and those between n+1D finite gauge theories with a gapped boundary and nD gapped quantum liquids. I will also briefly discuss some generalizations of this holographic duality and its relation to AdS/CFT duality.
Speaker Intro
Speaker: Liang Kong (孔良)
Affiliation: Shenzhen Institute for Quantum Science and Engineering, SUSTech