Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence
Date
2019
Authors
Mathai, V.
Thiang, G.C.
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Advances in Theoretical and Mathematical Physics, 2019; 23(3):803-840
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Varghese Mathai and Guo Chuan Thiang
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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.
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