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Category and Topological Order Seminar
Category and Topological Order Seminar
Topological Wick rotation and holographic duality
Topological Wick rotation and holographic duality
Organizer
Speaker
Liang Kong
Time
Tuesday, September 27, 2022 1:30 PM - 3:00 PM
Venue
1131
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. I will provide some explicit examples in low dimensions, including the duality between 2+1D toric code model and 1+1D Ising chain and its finite-group generalizations (independently obtained by Freed and Teleman arXiv:1806.00008); that between 2+1D topological orders and 1+1D rational conformal field theories. As a consequence, we immediately obtain the classification of all 1+1D gapped quantum phases, a result which was obtained previously via a very different approach. This classification result generalizes to gapped quantum liquids in higher dimensions (with more general symmetries). I will also 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