Moonshine in Fivebrane Spacetimes

Abstract

We consider type II superstring theory on $K3\times S^1\times {\mathbb{R}}^{1,4}$ and study perturbative BPS states in the near-horizon background of two Neveu-Schwarz fivebranes whose world-volume wraps the $K3\times S^1$ factor. These states are counted by the spacetime helicity supertrace ${\chi }_2(\tau )$ which we evaluate. We find a simple expression for ${\chi }_2(\tau )$ in terms of the completion of the mock modular form $H^{(2)}(\tau )$ that has appeared recently in studies of the decomposition of the elliptic genus of K3 surfaces into characters of the N=4 superconformal algebra and which manifests a moonshine connection to the Mathieu group $M_{24}$.

32 pages

References in corpus (7)

• Notes on the K3 Surface and the Mathieu group M_24
• Note on Twisted Elliptic Genus of K3 Surface
• Supersymmetric Index from Black Hole Entropy
• Mathieu Moonshine in the elliptic genus of K3
• A Twisted Non-compact Elliptic Genus
• Fundamental Superstrings as Holograms
• Mathieu Moonshine and N=2 String Compactifications

Cited by in corpus (13)

• Elliptic genera of ALE and ALF manifolds from gauged linear sigma models
• A holomorphic anomaly in the elliptic genus
• Mock Modular Mathieu Moonshine Modules
• Localization and real Jacobi forms
• On symmetries of N=(4,4) sigma models on T^4
• Twining Genera of (0,4) Supersymmetric Sigma Models on K3
• APS $\eta$-invariant, path integrals, and mock modularity
• Mathieu moonshine in four dimensional $\mathcal{N}=1$ theories
• Comments on M${}_{24}$ representations and $C{Y}_3$ geometries
• Higher Poles and Crossing Phenomena from Twisted Genera
• Squashed toric sigma models and mock modular forms
• Squashed Toric Manifolds and Higher Depth Mock Modular Forms
• N=(4,4) Vector Multiplets on Curved Two-Manifolds