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arXiv · 2103.01101

Fermionization of conformal boundary states

Hiromi Ebisu·Masataka Watanabe
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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.

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Hiromi Ebisu, Masataka Watanabe. 2021-10-29. Fermionization of conformal boundary states. https://doi.org/10.1103/physrevb.104.195124

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