Advances in Theoretical and Mathematical Physics
Volume 23 (2019)
Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence
Pages: 803 – 840
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.
Published 4 December 2019