2 problems

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Conjecture on finite-group realizations of bosonic crystalline SPT phases
Finite-group realization conjecture. For every $\omega\in H^{d+2}(BG,\mathbb{Z}^{\mathrm{or}})$ , there exists such a finite group $G_f$ and homomorphism $\varphi:G\to G_f$ for whic…
Conjectureopencrystalline-symmetries group-cohomology symmetry-protected-topological-phasesarXiv posted 3 days ago
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Conjecture on low-energy responses to arbitrary crystalline gauge fields
Crystalline gauge-field response conjecture. The low-energy topological response is well-defined for any crystalline gauge field, not only rigid crystalline gauge fields.
Conjectureopencrystalline-symmetries gauge-theory topological-phasesarXiv posted 3 days ago

Conjecture on finite-group realizations of bosonic crystalline SPT phases