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    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
    
    Metadata
    Show full item record
    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
    ae974a485f413a2113503eed53cd6c53
    10.1007/s00220-020-03721-4
    Scopus Count
    Collections
    UA Faculty Publications

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