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Lifting 1/4-BPS States on K3 and Mathieu Moonshine
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The elliptic genus of K3 is an index for the 1/4-BPS states of its sigma 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.
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Cited by 1 Pith paper
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Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
Symmetric product orbifolds have large-N thermal correlators identical to BTZ, undercutting the claim that a type III1 von Neumann algebra implies a sharp emergent horizon.
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