T-duality and the bulk-boundary correspondence
arXiv:1704.00278 · doi:10.1016/j.geomphys.2017.11.016
Abstract
String-theoretic T-duality can be exploited to simplify some features of the bulk-boundary correspondence in condensed matter theory. This paper surveys how T-duality links position and momentum space pictures of that correspondence.
37pp. v3. Minor extra changes to clarify notation and exposition. (v2.Typos corrected, expanded discussion of the lattice representation, the T-dual sequences, magnetic translations, and spin-ice monopoles. First version 27pp. Based on a talk at the IGA/AMSI workshop Adelaide September 2016)
References in corpus (6)
- Helical Metal Inside a Topological Band Insulator
- Differential topology of semimetals
- Homotopy Theory of Strong and Weak Topological Insulators
- The bulk-edge correspondence for the quantum Hall effect in Kasparov theory
- Global topology of Weyl semimetals and Fermi arcs
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