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It is believed that most (perhaps all) gapped phases of matter can be described at long distances by Topological Quantum Field Theory (TQFT).
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D. Perez-García, F. Verstraete, M.M. Wolf and J.I. Cirac, “Matrix Product State Representations,” arXiv:0608197
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Cited in the paper.
G. Moore, G. Segal,“D-branes and K-theory in 2D topological field theory,” arXiv:hep-th/0609042
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A. Kapustin, “Is There Life Beyond Quantum Mechanics?” arXiv:1303.6917 [quant-ph]
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A. Lauda and H. Pfeiffer, “State sum construction of two-dimensional open-closed Topological Quantum Field Theories,” arXiv:math/0602047
Cited in the paper.