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Nuclear Physics B· 2014Q2

Anyon condensation and tensor categories

Liang Kong

Short summary

A bootstrap approach shows that anyon condensation in a 2D topological phase (modular tensor category C to D) requires the D-phase vacuum to be a connected commutative separable algebra in C, with D equivalent to local A-modules.

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Field: Geometry and Topology

Geometry and TopologyMathematics