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范畴论在物理中的应用研讨班丨Introduction to category theory in physics: Anyon condensation and topological Wick rotation

2022-08-02 08:42:05

时间:2022年8月5日(星期五)14:00-15:30

地点:西湖大学云谷校区E4-201


主讲人:许容阁,西湖大学博士生

报告题目:Introduction to category theory in physics: Anyon condensation and topological Wick rotation


报告摘要:

A topological phase transition of 2d topological orders with the same central charge is called "anyon condensation". Assume that a system of anyons which form a modular tensor category D, is obtained via an anyon condensation from another modular tensor category C. It turns out that D consists of all deconfined particles in C. We provide examples of anyon condensation in the toric code model and double Ising model.

The same condensation process also happens in spacetime, which is related to a mysterious process called "topological Wick rotation". After the topological Wick rotation, we obtain an enriched fusion category, which can describe the excitations in a gapless phase.