Speaker: Han Yan (Okinawa Institute of Science and Technology Graduate University)

Date & Time: July 30, 2020, 2-3pm (JST).

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Title: Universal picture of holographic toy models from rank-2 U(1) theory (or Lifshitz gravity)

Abstract: In this talk, we address two points connecting holographic toy models and fracton states of matter. First, we show that there is a unified picture behind different holographic toy models based on tensor-networks, bit threads, and fracton model: a web of bit threads on a hyperbolic lattice. They all capture some coarse features of the entanglement structure from AdS/CFT but also miss the "finer" ones. It is thus interesting to ask what is the bulk theory that gives rise to such a picture. The second part of the talk is to show that it arises from the rank-2 U(1) theory or Lifshitz gravity. As a special case of gravity, it has the diffeomorphism as the gauge structure but only at the linearized limit, which is crucial in dictating the entanglement structure. We hope these discoveries help understanding both gravity and fracton states of matter.