Boundary States and Anomalous Symmetries of Fermionic Minimal Models
Abstract
The fermionic minimal models are a recently-introduced family of two-dimensional spin conformal field theories. We determine all of their conformal boundary states and potentially anomalous Z2 global symmetries. The latter task hinges upon on a conjecture about su(2) affine parities generalising an earlier result known to have an interpretation in terms of Fermat curves. Our results indicate a close connection between several properties of the models, including the matching of the sizes of the SPT classes of boundary states, the existence of anomalous Z2 symmetries, and the vanishing of the Ramond-Ramond sector, for which we provide an explanation.
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