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A derivation of braided $C^*$-tensor categories from gapped ground states satisfying the approximate Haag duality

Published 29 Jun 2021 in math-ph, cond-mat.stat-mech, math.MP, math.OA, and quant-ph | (2106.15741v1)

Abstract: We derive braided $C*$-tensor categories from gapped ground states on two-dimensional quantum spin systems satisfying some additional condition which we call the approximate Haag duality.

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