Crystallographic T-duality

JOURNAL OF GEOMETRY AND PHYSICS

卷:139

Article

Gomi, Kiyonori¹  Thiang, Guo Chuan² 

[1] Shinshu Univ, Dept Math Sci, Matsumoto, Nagano 3908621, Japan

[2] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005, Australia

关键词: T-duality;    Topological phases;    Crystallography;   

DOI  :  10.1016/j.geomphys.2019.01.002

来源: Elsevier

【 摘 要 】

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. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free