Attractors are not algebraic

Abstract

The Attractor Conjecture for Calabi-Yau moduli spaces predicts the algebraicity of the moduli values of certain isolated points picked out by Hodge-theoretic conditions. We provide a family of counterexamples to the Attractor Conjecture in all suitably high, odd dimensions conditional on the Zilber-Pink conjecture.

arXiv commentComments welcome! 24 pages

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Cited by in corpus (2)

• On the Swampland Cobordism Conjecture and Non-Abelian Duality Groups
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme