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- W4301822354 abstract "We build two-dimensional quantum field theories on spin surfaces starting from theories on oriented surfaces with networks of topological defect lines and junctions. The construction uses a combinatorial description of the spin structure in terms of a triangulation equipped with extra data. The amplitude for the spin surfaces is defined to be the amplitude for the underlying oriented surface together with a defect network dual to the triangulation. Independence of the triangulation and of the other choices follows if the line defect and junctions are obtained from a Delta-separable Frobenius algebra with involutive Nakayama automorphism in the monoidal category of topological defects. For rational conformal field theory we can give a more explicit description of the defect category, and we work out two examples related to free fermions in detail: the Ising model and the so(n) WZW model at level 1." @default.
- W4301822354 created "2022-10-05" @default.
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- W4301822354 date "2015-06-24" @default.
- W4301822354 modified "2023-09-29" @default.
- W4301822354 title "Spin from defects in two-dimensional quantum field theory" @default.
- W4301822354 doi "https://doi.org/10.48550/arxiv.1506.07547" @default.
- W4301822354 hasPublicationYear "2015" @default.
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