We introduce a natural mathematical definition of boundary states of a bulk gapped ground state, in the operator algebraic framework of 2-d quantum spin systems. With approximate Haag duality at the boundary, we derive a C_-tensor category M out of such boundary state. Under a non-triviality condition of the braiding in the bulk, we show that the Drinfeld center (with an asymptotic constraint) of M is equivalent to the bulk braided C_-tensor category.
By Alexander Müller-Hermes
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By Gérard Ben Arous
By Gérard Ben Arous
By Gérard Ben Arous
By Katie Collins
By Javier Gómez-Serrano
