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arXiv · 1710.07299

't Hooft anomalies and boundaries

Kristan Jensen·Evgeny Shaverin·Amos Yarom
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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.

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Kristan Jensen, Evgeny Shaverin, Amos Yarom. 2017-10-19. 't Hooft anomalies and boundaries. https://doi.org/10.1007/jhep01(2018)085

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