2015/03/31 by Varghese Mathai, Guo Chuan Thiang · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Connection (principal bundle) #Duality (order theory) #Geometry #Mathematics #Physics #Pure mathematics #Quantum many-body systems #Quantum mechanics #String (physics) #String theory #Theoretical physics #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.other #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8113/48/42/42ft02
published as J.Phys.A: Math.Theor.(Fast Track Communication) vol.48 (2015) 42FT02 (10pp) · 12 pages, minor revision for publication in Journal of Physics A: Mathematical and Theoretical (Fast Track Communication)
arxiv created 2015/09/03 · openalex publication_date 2015/09/23 · arxiv updated 2015/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.