Talk by Yoshiko Ogata (University of Tokyo)

22.05.2024 11:30

"Boundary states of a bulk gapped ground state in 2-D quantum spin systems"

Wednesday, 22 May, 2024, at 11:30

Location:
Erwin Schrödinger lecture room
at the Faculty of Physics, Strudlhofgasse 4/Boltzmanngasse 5, 5th floor


Title:
Boundary states of a bulk gapped ground state in 2-D quantum spin systems

Abstract: 
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 the 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.


Host: 
Norbert Schuch

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