2017/10/31 by Kristan Jensen, Evgeny Shaverin, Amos Yarom · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep01(2018)085
23 pages; v2: refs added
arxiv created 2017/11/01 · arxiv updated 2018/02/14
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.