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arXiv · 2305.05081

Ground-state degeneracy of twisted sectors of Conway Moonshine SCFT

Alissa Furet·Theo Johnson-Freyd
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Abstract

We calculate the ground state degeneracies of all twisted sectors in the "Conway Moonshine'' holomorphic SCFT $V^{f\natural}$. We find that almost all sectors have ground states of only a single parity: specifically, 66 twisted sectors have nontrivial ground states of a single parity, 39 twisted sectors have spontaneous supersymmetry breaking, and only 6 twisted sectors have ground states of both parities. Although "nontrivial ground states, all of the same parity'' is the expected behaviour for a generic SQM model without symmetry protection, it is surprising in the presence of a large symmetry group, as is the case in $V^{f\natural}$. This surprise hints that there are as-yet-undiscovered features of Conway Moonshine.

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Alissa Furet, Theo Johnson-Freyd. 2023-05-08. Ground-state degeneracy of twisted sectors of Conway Moonshine SCFT. https://arxiv.org/abs/2305.05081

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