Pith. sign in

REVIEW 1 cited by

On time-reversal anomaly of 2+1d topological phases

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1610.07010 v1 pith:PUCCQZGZ submitted 2016-10-22 hep-th cond-mat.str-el

Yuji Tachikawa , Kazuya Yonekura This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords topologicalanomalytime-reversalallowsanomalousappearbackgroundboundary
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We describe a method to find the anomaly of the time-reversal symmetry of 2+1d topological quantum field theories, by computing the fractional anomalous momentum on the cross-cap background. This allows us, for example, to identify the parameter $\nu$ mod 16 of the bulk 3+1d topological superconductor with $\mathsf{T}^2=(-1)^F$ on whose boundary a given 2+1d time-reversal-invariant topological phase can appear.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Global Structure in the Presence of a Topological Defect

    math-ph 2025-01 conditional novelty 6.0 of 10

    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 i...

Pith tools