Online

October 8(Thu.), 2020 / 9:00 - 10:00(KST)

Recently a new type of gapped phases was discovered in (3+1) dimensions, whose unusual properties appear to defy a conventional TQFT description. Notably, they support quasiparticles with reduced mobility, sometimes completely immobile, and have an exponentially large number of locally indistinguishable ground states on a three-torus. After reviewing the basic facts about fracton phases, I will first discuss the entanglement structure of fracton stabilizer models, revealed by explicit computations of entanglement renormalization group flow for a large class of models, and how it is related to the quasiparticle mobility. In the next part, I will discuss a recent conjecture that all gapped fracton phases can be obtained from stacks of (2+1) TQFTs embedded in a (3+1) TQFT, and present new families of fracton phases going beyond existing constructions.

Prof. Meng Cheng (Yale University)

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Gil Young Cho (POSTECH)