Joe Charles Huxford

Toronto University, Canada

29 August 2024 Thu 11 am

IBS Center for Theoretical Physics of Complex Systems (PCS), Administrative Office (B349), Theory Wing, 3rd floor

Expo-ro 55, Yuseong-gu, Daejeon, South Korea, 34126 Tel: +82-42-878-8633

3+1 dimensional topological phases can support loop-like excitations in addition to point-like ones, allowing for non-trivial loop-loop and point-loop braiding statistics not permitted to point-like excitations alone. Furthermore, these loop-like excitations can be linked together, fundamentally changing their braiding properties. One way of studying these braiding processes is to construct the creation operators that generate these excitations in exactly solvable models. In this talk, I will illustrate how the braiding statistics arise in the twisted lattice gauge theory model, which is a Hamiltonian realization of Dijkgraaf-Witten theory. I will also discuss the conserved charges carried by these excitations, and establish a link between this charge and the ground state degeneracy of the model on different manifolds.

This talk will be based on our paper Phys. Rev. B 110, 035117 (2024) - Twisted lattice gauge theory: Membrane operators, three-loop braiding, and topological charge (aps.org), (preprint arXiv:2401.13042).

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