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Haag Duality for 2D Quantum Spin Systems - Glass Room (Moore library)

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  • UserYoshiko Ogata (Kyoto University)
  • ClockWednesday 24 September 2025, 10:00-11:00
  • HouseExternal.

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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.

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