Characteristic structures on manifolds with codimension-2 defects are translated into twisted spin bordism, low-degree groups are computed, and a Pontryagin-Thom obstruction to breaking Z/2 higher-form symmetries is identified.
Homotopy Theoretic Classification of Symmetry Protected Phases
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
fields
math-ph 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Global Structure in the Presence of a Topological Defect
Characteristic structures on manifolds with codimension-2 defects are translated into twisted spin bordism, low-degree groups are computed, and a Pontryagin-Thom obstruction to breaking Z/2 higher-form symmetries is identified.