3 papers
hep-th2025
Quantum Cluster State Spin Chain with Ising Fusion Category Symmetry: A Perspective from Weak Hopf SymTFT
Zhian Jia
In this work, we present a construction of a cluster state lattice Hamiltonian that exhibits the symmetry of the Ising fusion algebra. This construction is formulated within the fr…
hep-th2025
Weak Hopf tube algebra for domain walls between 2d gapped phases of Turaev-Viro TQFTs
Zhian Jia, Sheng Tan
We investigate domain walls between 2d gapped phases of Turaev-Viro type topological quantum field theories (TQFTs) by constructing domain wall tube algebras. We begin by analyzing…
math.QA2024
Quantum Cluster State Model with Haagerup Fusion Category Symmetry
Zhian Jia
We propose a (1+1)D lattice model, inspired by a weak Hopf algebra generalization of the cluster state model, which realizes Haagerup fusion category symmetry and features a tensor…