330 citations · 1.9k across the 23 of their papers we have counts for
24 papers
Non-invertible symmetries and selection rules for RG flows of coset models
Valentin Benedetti, Paul Fendley, Javier M. Magan
We analyze superselection sectors, non-invertible symmetries and selection rules for RG flows triggered via perturbations of a UV two-dimensional conformal field theory (CFT).…
Strong zero modes in integrable spin-S chains
Fabian H. L. Essler, Paul Fendley, Eric Vernier
We derive exact strong zero mode (ESZM) operators for integrable spin-S chains with open boundary conditions and a boundary field. Their locality properties are generally weaker th…
XYZ integrability the easy way
Paul Fendley, Sascha Gehrmann, Eric Vernier +1
Sutherland showed that the XYZ quantum spin-chain Hamiltonian commutes with the eight-vertex model transfer matrix, so that Baxter's subsequent tour de force proves the integrabili…
Perfect Particle Transmission through Duality Defects
Atsushi Ueda, Vic Vander Linden, Laurens Lootens +3
We study wavepackets that propagate across (a) topological interfaces in quantum spin systems exhibiting non-invertible symmetries and (b) duality defects coupling dual theories. W…
Generalizations of Kitaev's honeycomb model from braided fusion categories
Luisa Eck, Paul Fendley
Fusion surface models, as introduced by Inamura and Ohmori, extend the concept of anyon chains to 2+1 dimensions, taking fusion 2-categories as their input. In this work, we constr…
Pivoting through the chiral-clock family
Nick G. Jones, Abhishodh Prakash, Paul Fendley
The Onsager algebra, invented to solve the two-dimensional Ising model, can be used to construct conserved charges for a family of integrable -state chiral clock models. We show…