Beijing Institute of Mathematical Sciences and Applications

Hao Zheng

Liang Kong

Tuesday, September 27, 2022 1:30 PM - 3:00 PM

1131

Tencent 607 3645 0351 ()

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: Liang Kong （孔良） Affiliation: Shenzhen Institute for Quantum Science and Engineering, SUSTech