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Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model

Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model

A bstract We investigate the multifusion generalization of string-net ground states and lattice Hamiltonians, delving into their associated weak Hopf symmetries. For the multifusion string-net, the gauge symmetry manifests as a general weak Hopf algebra, leading to a reducible vacuum string label; the charge symmetry, serving as a quantum double …