Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence
Strongly Correlated Electrons
2019-12-06 v4 High Energy Physics - Theory
Mathematical Physics
math.MP
Operator Algebras
Abstract
We study topological phases in the hyperbolic plane using noncommutative geometry and T-duality, and show that fractional versions of the quantised indices for integer, spin and anomalous quantum Hall effects can result. Generalising models used in the Euclidean setting, a model for the bulk-boundary correspondence of fractional indices is proposed, guided by the geometry of hyperbolic boundaries.
Keywords
Cite
@article{arxiv.1712.02952,
title = {Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence},
author = {Varghese Mathai and Guo Chuan Thiang},
journal= {arXiv preprint arXiv:1712.02952},
year = {2019}
}
Comments
27 pages, 3 figures, minor update, to appear in ATMP