Crystallographic T-duality

Kiyonori Gomi; Guo Chuan Thiang

doi:10.1016/j.geomphys.2019.01.002

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arXiv · 1806.11385

Crystallographic T-duality

Kiyonori Gomi·Guo Chuan Thiang

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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.

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hep-th cond-mat.mes-hall math-ph math.KT math.MP

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Kiyonori Gomi, Guo Chuan Thiang. 2018-06-29. Crystallographic T-duality. https://doi.org/10.1016/j.geomphys.2019.01.002

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