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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

CPT Student Seminar: Holography for Multiboundary Wormholes

Presented by Alex Peach, Durham University

7 December 2015 17:00 in OC218

To understand how the holographic principle encodes bulk geometry holographically in a boundary field theory, one can consider the entanglement properties of states dual to interesting bulk geometries. It has been recently proposed by Susskind that entanglement between multiple field theories is holographically intimately linked to connectivity in the bulk. We considered the entanglement properties of states holographically dual to multiboundary wormholes in the setting of 3D gravity. I will introduce multiboundary wormholes and how to utilise the beautiful structure of 3D gravity to construct them there. I'll additionally talk about constructing and interpreting their holographically dual states. What we find is that the entanglement structure in the limit where all of the horizons become very large is extremely simple. I'll mainly use the three-boundary wormhole as an example. Coming down from this limit, we expect multipartite entanglement have some manifestation in the dual state. In this case we decided to utilise tensor networks to approximate the dual state, so I'll also give an introduction to tensor network representations of quantum states.

Contact a.m.peach@durham.ac.uk for more information

A gathering of mathematicians from the CPT group with physicists from IPPP, we meet to discuss our work in a relaxed and friendly environment.

An archive of previous years talks is kept here.