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arxiv: 1708.04264 · v1 · pith:2KOZC7U6new · submitted 2017-08-14 · 🧮 math.AT · cond-mat.str-el· hep-th· math-ph· math.MP

Homotopy Theoretic Classification of Symmetry Protected Phases

classification 🧮 math.AT cond-mat.str-elhep-thmath-phmath.MP
keywords homotopyclassificationnumberphasesprotectedsymmetrytheoreticalong
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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.

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