Lifting 1/4-BPS States on K3 and Mathieu Moonshine

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Author
Keller, Christoph A.
Zadeh, Ida G.
Affiliation
Univ Arizona, Dept Math
Issue Date
2020-07

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Publisher
SPRINGER
Citation
Keller, 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
Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Rights
© Springer-Verlag GmbH Germany, part of Springer Nature 2020
Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
Abstract
The 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.
Note
12 month embargo; published online: 6 March 2020
ISSN
0010-3616
EISSN
1432-0916
DOI
10.1007/s00220-020-03721-4
Version
Final accepted manuscript
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