3 papers
math-ph2025
Sector Theory of Levin-Wen Models I : Classification of Anyon Sectors
Alex Bols, Boris Kjær
We classify the irreducible anyon sectors of Levin-Wen models over an arbitrary unitary fusion category , showing that they are in one-to-one correspondence with equiv…
math-ph2023
The double semion state in infinite volume
Alex Bols, Boris Kjaer, Alvin Moon
We describe in a simple setting how to extract a unitary braided fusion category from a collection of superselection sectors of a two-dimensional quantum spin system, corresponding…
math.PR2023
The Uniform Even Subgraph and Its Connection to Phase Transitions of Graphical Representations of the Ising Model
Ulrik Thinggaard Hansen, Boris Kjær, Frederik Ravn Klausen
The uniform even subgraph is intimately related to the Ising model, the random-cluster model, the random current model, and the loop (1) model. In this paper, we first…