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We study symmetry-enriched topological order in two-dimensional tensor network states by using graded matrix product operator algebras to represent symmetry-induced domain walls.
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2008
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2009
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2015
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P. Etingof, S. Gelaki, D. Nikshych, and V. Ostrik, Tensor categories , Vol. 205 (American Mathematical Soc., 2015)
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K. Walker, Codimension-1 defects, categorified group actions, and condensing fermions, talk at IPAM workshop (Jan. 26-30, 2015)
2015
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D. J. Williamson, Fractal symmetries: Ungauging the cubic code, Phys. Rev. B 94
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J. Haah, An invariant of topologically ordered states under local unitary transformations, Commun. Math. Phys. 342
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B. Yoshida, Gapped boundaries, group cohomology and fault-tolerant logical gates, Ann. Phys. 377
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