[1905.00035] Lifting 1/4-BPS States On K3 And Mathieu Moonshine

High Energy Physics - Theory arXiv:1905.00035 (hep-th) [Submitted on 30 Apr 2019 (v1), last revised 6 Aug 2020 (this version, v2)] Title:Lifting 1/4-BPS States on K3 and Mathieu Moonshine Authors:Christoph A. Keller, Ida G. Zadeh View a PDF of the paper titled Lifting 1/4-BPS States on K3 and Mathieu Moonshine, by Christoph A. Keller and Ida G. Zadeh View PDF

Abstract: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.

Comments:	29+5 pp, a sign mistake corrected in eqs. (3.14) and (4.20), footnote 6 added to clarify this point, references added
Subjects:	High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Number Theory (math.NT); Representation Theory (math.RT)
Cite as:	arXiv:1905.00035 [hep-th]
(or arXiv:1905.00035v2 [hep-th] for this version)
https://doi.org/10.48550/arXiv.1905.00035 Focus to learn more arXiv-issued DOI via DataCite
Related DOI:	https://doi.org/10.1007/s00220-020-03721-4 Focus to learn more DOI(s) linking to related resources

Submission history

From: Ida G. Zadeh [view email] [v1] Tue, 30 Apr 2019 18:00:07 UTC (39 KB) [v2] Thu, 6 Aug 2020 13:00:13 UTC (118 KB) Full-text links:

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