Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.
Invertible phases of matter with spatial symmetry
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We propose a general formula for the group of invertible topological phases on a space $Y$, possibly equipped with the action of a group $G$. Our formula applies to arbitrary symmetry types. When $Y$ is Euclidean space and $G$ a crystallographic group, the term `topological crystalline phases' is sometimes used for these phases of matter.
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Computes E2 pages of momentum- and real-space AHSS for 1651 magnetic space groups and determines compatible K-groups for ~59% of 3D symmetry settings under a physical assumption.
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Atiyah-Hirzebruch spectral sequence for topological insulators and superconductors: $E_2$ pages for 1651 magnetic space groups
Computes E2 pages of momentum- and real-space AHSS for 1651 magnetic space groups and determines compatible K-groups for ~59% of 3D symmetry settings under a physical assumption.