Crystallographic T-duality
High Energy Physics - Theory
2019-02-13 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
K-Theory and Homology
math.MP
Abstract
We introduce the notion of crystallographic T-duality, inspired by the appearance of -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.
Cite
@article{arxiv.1806.11385,
title = {Crystallographic T-duality},
author = {Kiyonori Gomi and Guo Chuan Thiang},
journal= {arXiv preprint arXiv:1806.11385},
year = {2019}
}
Comments
49 pages, 4 figures, 3 tables. Revised version with expanded appendix, for publication in J. Geom. Phys