Homotopy Theoretic Classification of Symmetry Protected Phases

Abstract

We classify a number of symmetry protected phases using Freed-Hopkins' homotopy theoretic classification. Along the way we compute the low-dimensional homotopy groups of a number of novel cobordism spectra.

References in corpus (2)

• Bosonic Topological Insulators and Paramagnets: a view from cobordisms
• A Topological Phase in a Quantum Gravity Model

Cited by in corpus (6)

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• Beyond Standard Models and Grand Unifications: Anomalies, Topological Terms, and Dynamical Constraints via Cobordisms
• WZW terms without anomalies: generalised symmetries in chiral Lagrangians
• Commutative d-Torsion K-Theory and Its Applications