Anyons in Quantum Spin Systems: Superselection Sectors and How to Compute Them

Abstract: The theory of superselection sectors, first developed in algebraic quantum field theory and more recently adapted to quantum spin systems by Naaijkens and Ogata, provides a rigorous description of the anyonic excitations hosted by gapped ground states of (2+1)-dimensional quantum systems. After a brief introduction to the general framework, I will sketch how the sector theory can be computed explicitly in a class of exactly solvable models. The talk is based on joint work with Mahdie Hamdan, Boris Kjær, Pieter Naaijkens, and Siddarth Vadnerkar : arXiv:2310.19661, arXiv:2503.15611, arXiv:2511.21521

mathematical physics

Audience: researchers in the discipline

One world IAMP mathematical physics seminar

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