A tensor network perspective on categorical symmetries and their gauging

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• Bram Vancraeynest-De Cuiper (Universiteit Gent)
• Wednesday 08 October 2025, 10:00-11:30
• Seminar Room 2, Newton Institute.

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BID - Quantum field theory with boundaries, impurities, and defects

In recent years tensor networks have been demonstrated to provide the lattice representation theory of generalised symmetries described by fusion categories. This entanglement based approach has among other things opened up the possibility of efficiently simulating lattice models with such symmetries, and exploration of their phase diagram. In this talk, I will first review these advances with a particular emphasize on the construction of generic symmetric Hamiltonians and the inclusion of symmetry-twisted boundary conditions. I will then proceed by sketching the gauging of these symmetries via a choice of algebra in the symmetry category on which the anomaly vanishes. Based in part on [2509.22051, 2408.06334, 2112.09091].

This talk is part of the Isaac Newton Institute Seminar Series series.

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