't Hooft anomalies and boundaries
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Publication:1745501
DOI10.1007/JHEP01(2018)085zbMATH Open1384.83059arXiv1710.07299OpenAlexW3106197262MaRDI QIDQ1745501
Author name not available (Why is that?)
Publication date: 17 April 2018
Published in: (Search for Journal in Brave)
Abstract: We argue that there is an obstruction to placing theories with 't Hooft anomalies on manifolds with a boundary, unless the symmetry associated with the anomaly can be represented as a non-invariance under an Abelian transformation. For a two dimensional conformal field theory we further demonstrate that all anomalies except the usual trace anomaly are incompatible on a manifold with a boundary. Our findings extend a known result whereby, under mild assumptions, Lagrangian theories with chiral matter cannot be canonically quantized.
Full work available at URL: https://arxiv.org/abs/1710.07299
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