Stability conditions and the mirror symmetry of \(K3\) surfaces in attractor backgrounds

DOI10.1007/s10473-023-0303-4zbMath1524.14088arXiv1210.7391OpenAlexW4367369069MaRDI QIDQ6159419

Wenxuan Lu

Publication date: 5 May 2023

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7391

zbMATH Keywords

mirror symmetrystability conditions\(K3\) surfacesattractor mechanism

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Mirror symmetry (algebro-geometric aspects) (14J33)

Cites Work

• F-theory, \(T\)-duality on \(K3\) surfaces, and \(N=2\) supersymmetric gauge theories in four dimensions
• Special Lagrangians, stable bundles and mean curvature flow
• Mirror symmetry for lattice polarized \(K3\) surfaces
• Split states, entropy enigmas, holes and halos
• Stability conditions on \(K3\) surfaces
• Attractor mechanisms of moduli spaces of Calabi-Yau 3-folds
• The Geometry Underlying Mirror Symmetry
• Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities
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