Gapped theories have torsion anomalies

Fuente: arXiv
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Auteurs principaux: Córdova, Clay, Freed, Daniel S., Teleman, Constantin
Format: Preprint
Publié: 2024
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author Córdova, Clay
Freed, Daniel S.
Teleman, Constantin
author_facet Córdova, Clay
Freed, Daniel S.
Teleman, Constantin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_15148
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gapped theories have torsion anomalies
Córdova, Clay
Freed, Daniel S.
Teleman, Constantin
High Energy Physics - Theory
Strongly Correlated Electrons
Mathematical Physics
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.
title Gapped theories have torsion anomalies
topic High Energy Physics - Theory
Strongly Correlated Electrons
Mathematical Physics
url https://arxiv.org/abs/2408.15148