Fermionization of conformal boundary states

Abstract

We construct the complete set of boundary states of two-dimensional fermionic CFTs using that of the bosonic counterpart. We see that there are two groups of boundary conditions, which contributes to the open-string partition function by characters with integer coefficients, or with $\sqrt{2}$ times integer coefficients. We argue that, using the argument of [JHEP 09 (2020) 018], this $\sqrt{2}$ indicates a single unpaired Majorana zero mode, and that these two groups of boundary conditions are mutually incompatible. We end the paper by mentioning a possible interpretation of the result in terms of the entanglement entropy.

11 pages

References in corpus (8)

• Unusual Corrections to Scaling in Entanglement Entropy
• Physics at the entangling surface
• 3d Abelian Gauge Theories at the Boundary
• Fermionization and boundary states in 1+1 dimensions
• Superconformal defects in the tricritical Ising model
• $3d$ One-form Mixed Anomaly and Entanglement Entropy
• Boundary States and Anomalous Symmetries of Fermionic Minimal Models
• 3d Large $N$ Vector Models at the Boundary

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• Parity and Spin CFT with boundaries and defects
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• Fermionic fractional quantum Hall states: A modern approach to systems with bulk-edge correspondence
• Information metric on the boundary