A derivation of braided $C^{\ast }$-tensor categories from gapped ground states satisfying the approximate Haag duality

Abstract

We derive braided $C^{\ast }$-tensor categories from gapped ground states on two-dimensional quantum spin systems satisfying some additional condition which we call the approximate Haag duality.

References in corpus (2)

• Localized endomorphisms in Kitaev's toric code on the plane
• The split and approximate split property in 2D systems: stability and absence of superselection sectors

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