Boundary States and Anomalous Symmetries of Fermionic Minimal Models

2021/02/03 by Smith, Philip Boyle · 3 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2102.02203

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 \mathfraksu(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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• Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls
• Fermion Parity Resolution of Entanglement
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