T-Duality of Topological Insulators
classification
✦ hep-th
cond-mat.othermath-phmath.MP
keywords
insulatorstopologicalcherndualitystringt-dualitytheoryanalog
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Topological insulators and D-brane charges in string theory can both be classified by the same family of groups. In this paper, we extend this connection via a geometric transform, giving a novel duality of topological insulators which can be viewed as a condensed matter analog of T-duality in string theory. For 2D Chern insulators, this duality exchanges the rank and Chern number of the valence bands.
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Forward citations
Cited by 1 Pith paper
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Engineering of Anyons on M5-Probes via Flux Quantization
Flux quantization of the M5-brane tensor field in twisted Cohomotopy yields Pontrjagin homology observables that reproduce abelian Chern-Simons theory and braid actions on defect anyons.
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