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Type: Journal article
Title: Crystallographic T-duality
Author: Gomi, K.
Thiang, G.C.
Citation: Journal of Geometry and Physics, 2019; 139:50-77
Publisher: Elsevier
Issue Date: 2019
ISSN: 0393-0440
Statement of
Kiyonori Gomia, Guo Chuan Thiang
Abstract: We introduce the notion of crystallographic T-duality, inspired by the appearance of $K$-theory with graded equivariant twists in the study of topological crystalline materials. Besides giving a range of new topological T-dualities, it also unifies many previously known dualities, motivates generalisations of the Baum-Connes conjecture to graded groups, provides a powerful tool for computing topological phase classification groups, and facilitates the understanding of crystallographic bulk-boundary correspondences in physics.
Keywords: T-duality; topological phases; crystallography
Rights: © 2019 Elsevier B.V. All rights reserved.
RMID: 0030109015
DOI: 10.1016/j.geomphys.2019.01.002
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Appears in Collections:Mathematical Sciences publications

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