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T-Duality Simplifies Bulk-Boundary Correspondence

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Abstract

Recently, we introduced T-duality in the study of topological insulators. In this paper, we study the bulk-boundary correspondence for three phenomena in condensed matter physics, namely, the quantum Hall effect, the Chern insulator, and time reversal invariant topological insulators. In all of these cases, we show that T-duality trivializes the bulk-boundary correspondence.

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  1. Department of Pure Mathematics, University of Adelaide, Adelaide, 5005, Australia

    Varghese Mathai & Guo Chuan Thiang

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  1. Varghese Mathai
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  2. Guo Chuan Thiang
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Correspondence to Varghese Mathai.

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Communicated by M. Salmhofer

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Mathai, V., Thiang, G.C. T-Duality Simplifies Bulk-Boundary Correspondence. Commun. Math. Phys. 345, 675–701 (2016). https://doi.org/10.1007/s00220-016-2619-6

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