CMSA Quantum Matter in Mathematics and Physics: Topological Wick Rotation and Holographic duality

SEMINARS, CMSA EVENTS

Speaker:

Liang Kong - Sustech

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.

For more information on how to join, please see: https://cmsa.fas.harvard.edu/event/quantum-matter-in-mathematics-and-physics/