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Communications in Mathematical Physics

, Volume 345, Issue 2, pp 675–701 | Cite as

T-Duality Simplifies Bulk-Boundary Correspondence

  • Varghese Mathai
  • Guo Chuan Thiang
Article

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.

Keywords

Line Bundle Topological Insulator Quantum Hall Effect Chern Number Cyclic Cohomology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Pure MathematicsUniversity of AdelaideAdelaideAustralia

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