2016/03/31 by Keith Hannabuss, Keith C. Hannabuss, Varghese Mathai +1
Materials Science · Mathematics · Physics and Astronomy · #Boundary (topology) #Dimension (graph theory) #Duality (order theory) #Graphene research and applications #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Pure mathematics #Simple (philosophy) #String (physics) #String theory #Theoretical physics #Topological Materials and Phenomena #cond-mat.mes-hall #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1007/s11005-017-1028-x
published as Lett. Math. Phys., 108, 5, (2018) 1163-1201 · 33 pages, 2 figures, minor revision
arxiv created 2017/11/07 · openalex publication_date 2017/11/22 · arxiv updated 2018/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We state and prove a general result establishing that T-duality simplifies the bulk-boundary correspondence, in the sense of converting it to a simple geometric restriction map. This settles in the affirmative several earlier conjectures of the authors, and provides a clear geometric picture of the correspondence. In particular, our result holds in arbitrary spatial dimension, in both the real and complex cases, and also in the presence of disorder, magnetic fields, and H-flux. These special cases are relevant both to String Theory and to the study of the quantum Hall effect and topological insulators with defects in Condensed Matter Physics.