Gapped theories have torsion anomalies
High Energy Physics - Theory
2024-08-28 v1 Strongly Correlated Electrons
Mathematical Physics
math.MP
Abstract
We prove special cases of a general conjecture: If an invertible field theory admits a projectively topological boundary theory, then it has finite order in the abelian group of invertible field theories. One can substitute `gapped' for `projectively topological'. Our proofs use evaluations of a field theory in parametrized families.
Keywords
Cite
@article{arxiv.2408.15148,
title = {Gapped theories have torsion anomalies},
author = {Clay Córdova and Daniel S. Freed and Constantin Teleman},
journal= {arXiv preprint arXiv:2408.15148},
year = {2024}
}
Comments
8 pages