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$$T$$-duality simplifies bulk-boundary correspondence: the parametrised case. (English) Zbl 1359.81181
Summary: We state a general conjecture that $$T$$-duality simplifies a model for the bulk-boundary correspondence in the parametrised context. We give evidence that it is valid by proving it in a special interesting case, which is relevant both to String Theory and to the study of topological insulators with defects in Condensed Matter Physics.

MSC:
 81V70 Many-body theory; quantum Hall effect 82D20 Statistical mechanical studies of solids
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