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Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence

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dc.contributor.authorMathai, V.
dc.contributor.authorThiang, G.C.
dc.date.issued2019
dc.description.abstractWe 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.
dc.description.statementofresponsibilityVarghese Mathai and Guo Chuan Thiang
dc.identifier.citationAdvances in Theoretical and Mathematical Physics, 2019; 23(3):803-840
dc.identifier.doi10.4310/ATMP.2019.v23.n3.a5
dc.identifier.issn1095-0761
dc.identifier.issn1095-0753
dc.identifier.orcidMathai, V. [0000-0002-1100-3595]
dc.identifier.orcidThiang, G.C. [0000-0003-0268-0065]
dc.identifier.urihttp://hdl.handle.net/2440/124565
dc.language.isoen
dc.publisherInternational Press
dc.relation.granthttp://purl.org/au-research/grants/arc/DP150100008
dc.relation.granthttp://purl.org/au-research/grants/arc/FL170100020
dc.relation.granthttp://purl.org/au-research/grants/arc/DE170100149
dc.rightsCopyright status unknown
dc.source.urihttps://doi.org/10.4310/atmp.2019.v23.n3.a5
dc.subjectcond-mat.str-el
dc.subjecthep-th
dc.subjectmath-ph
dc.subjectmath.MP
dc.subjectmath.OA
dc.titleTopological phases on the hyperbolic plane: fractional bulk-boundary correspondence
dc.typeJournal article
pubs.publication-statusPublished

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