14 citations · 42 across the 10 of their papers we have counts for
4 papers · 1 filter
Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order
Zhian Jia, Sheng Tan
The tube algebra, which carries the structure of a weak Hopf algebra, is a fundamental tool for characterizing topological excitations in topological phases. In this work, we…
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…
Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model
Zhian Jia, Sheng Tan, Dagomir Kaszlikowski
We investigate the multifusion generalization of string-net ground states and lattice Hamiltonians, delving into its associated weak Hopf symmetry. For the multifusion string-net,…
On weak Hopf symmetry and weak Hopf quantum double model
Zhian Jia, Sheng Tan, Dagomir Kaszlikowski +1
Symmetry is a central concept for classical and quantum field theory, usually, symmetry is described by a finite group or Lie group. In this work, we introduce the weak Hopf algebr…