Abstract
We consider type II superstring theory on K3 × S 1 × ℝ1,4 and study pertur-bative BPS states in the near-horizon background of two Neveu-Schwarz fivebranes whose world-volume wraps the K3 × S 1 factor. These states are counted by the spacetime helicity supertrace χ 2(τ) which we evaluate. We find a simple expression for χ 2(τ) in terms of the completion of the mock modular form H (2)(τ) that has appeared recently in studies of the decomposition of the elliptic genus of K3 surfaces into characters of the N = 4 supercon-formal algebra and which manifests a moonshine connection to the Mathieu group M 24.
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Harvey, J.A., Murthy, S. Moonshine in fivebrane spacetimes. J. High Energ. Phys. 2014, 146 (2014). https://doi.org/10.1007/JHEP01(2014)146
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DOI: https://doi.org/10.1007/JHEP01(2014)146