# Anyonic Chains -- $\alpha$-Induction -- CFT -- Defects -- Subfactors

@inproceedings{Hollands2022AnyonicC, title={Anyonic Chains -- \$\alpha\$-Induction -- CFT -- Defects -- Subfactors}, author={Stefan Hollands}, year={2022} }

Given a unitary fusion category, one can define the Hilbert space of a so-called “anyonic spin-chain” and nearest neighbor Hamiltonians providing a real-time evolution. There is considerable evidence that suitable scaling limits of such systems can lead to 1 ` 1-dimensional conformal field theories (CFTs), and in fact, can be used potentially to construct novel classes of CFTs. Besides the Hamiltonians and their densities, the spin chain is known to carry an algebra of symmetry operators…

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