Higher genus Siegel forms and multi-center black holes in N=4 supersymmetric string theory

2017/12/06 by Frederik Denef, Shamit Kachru, Denef, Frederik +5
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1712.01985

openalex publication_date 2017/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We conjecture that the Fourier coefficients of a degree three Siegel form, 1/√χ₁₈, count the degeneracy of three-center BPS bound states in type II string theory compactified on K3 × T². We provide evidence for our conjecture in the form of consistency with physical considerations of wall-crossing, holographic bounds, and the appearance of suitable counting functions (involving the inverse of the modular discriminant Δ and the inverse of the Igusa cusp form Φ₁₀) in limits where the count degenerates to involve single-center or two-center objects.

Citations

• Re-Recounting Dyons in N=4 String Theory

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