A one-to-one correspondence is established between anomalous boundary SETs and critical states of internal versus crystalline fermionic SPT phases, including explicit mappings of time-reversal and mirror anomaly indicators.
The anomaly-preserving operation is defined to the trans- formation that can not change the topological class of the quantum anomaly of symmetry
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Correspondence of boundary theories between internal and crystalline symmetry protected topological phases
A one-to-one correspondence is established between anomalous boundary SETs and critical states of internal versus crystalline fermionic SPT phases, including explicit mappings of time-reversal and mirror anomaly indicators.