AffiliationUniv Arizona, Dept Math
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CitationKeller, C.A., Zadeh, I.G. Lifting 14-BPS States on K3 and Mathieu Moonshine. Commun. Math. Phys. 377, 225–257 (2020). https://doi.org/10.1007/s00220-020-03721-4
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AbstractThe elliptic genus of K3 is an index for the 1 4 -BPS states of its s-model. At the torus orbifold point there is an accidental degeneracy of such states. We blow up the orbifold fixed points using conformal perturbation theory, and find that this fully lifts the accidental degeneracy of the 1 4 -BPS states with h = 1. At a generic point near the Kummer surface the elliptic genus thus measures not just their index, but counts the actual number of these BPS states. We comment on the implication of this for symmetry surfing and Mathieu moonshine.
Note12 month embargo; published online: 6 March 2020
VersionFinal accepted manuscript