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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Haag Duality for 2D Quantum Spin Systems - Glass Room (Moore library)
Haag Duality for 2D Quantum Spin Systems - Glass Room (Moore library)Add to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact nobody. BID - Quantum field theory with boundaries, impurities, and defects Doplicher–Haag–Roberts (DHR) theory in algebraic quantum field theory allows us to derive a braided C-tensor category under the assumption of Haag duality. Recently, DHR theory has been applied to the study of topological phases of matter in two-dimensional quantum spin systems. The strength of DHR theory in this context is that it provides a framework to describe anyons as invariants of topological order. However, Haag duality is a necessary input, and it is not known whether it holds in general. In this talk, I will report on our recent results with David Pérez-García and Alberto Ruiz-de-Alarcón concerning Haag duality in two-dimensional tensor network states based on biconnected C-weak Hopf algebras. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:
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