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

被引：0
作者：
Mathai, Varghese [1 ]
Guo Chuan Thiang [1 ]
机构：
[1] Univ Adelaide, Dept Pure Math, Sch Math Sci, Adelaide, SA 5005, Australia
来源：
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS | 2019年 / 23卷 / 03期
基金：
澳大利亚研究理事会;
关键词：
TWISTED INDEX THEORY; T-DUALITY; GOOD ORBIFOLDS; TORUS BUNDLES; H-FLUXES; ALGEBRAS; CONJECTURE; INSULATOR;
D O I：
暂无
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We study topological phases in the hyperbolic plane using non-commutative 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.
引用
收藏
页码：803 / 840
页数：38
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