K3 metrics from little string theory

2018/10/24 by Shamit Kachru, Kachru, Shamit, Arnav Tripathy +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1810.10540

openalex publication_date 2018/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Certain six-dimensional (1,0) supersymmetric little string theories, when compactified on T³, have moduli spaces of vacua given by smooth K3 surfaces. Using ideas of Gaiotto-Moore-Neitzke, we show that this provides a systematic procedure for determining the Ricci-flat metric on a smooth K3 surface in terms of BPS degeneracies of (compactified) little string theories.

Citations

• Holographic Action for the Self-Dual Field
• Holomorphic reduction of N=2 gauge theories, Wilson-'t Hooft operators, and S-duality
• Mirror symmetry and T-duality in the complement of an anticanonical divisor
• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Wall-crossing, Hitchin Systems, and the WKB Approximation
• About the Absence of Exotics and the Coulomb Branch Formula

Cited by

• Quantum TBA for refined BPS indices

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• M-theory/type IIA duality and K3 in the Gibbons-Hawking approximation
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