Calabi-Yau manifolds from noncommutative Hermitian U(1) instantons

Abstract

We show that Calabi-Yau manifolds are emergent from the commutative limit of six-dimensional noncommutative Hermitian U(1) instantons. Therefore we argue that the noncommutative Hermitian U(1) instantons correspond to quantized Calabi-Yau manifolds.

arXiv comment23 pages; Appendix added to demystify the emergent gravity picture, published version in Phys. Rev. D

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Cited by in corpus (7)

• Contravariant Gravity on Poisson Manifolds and Einstein Gravity
• Mirror Symmetry in Emergent Gravity
• Quantized Kähler Geometry and Quantum Gravity
• Contravariant geometry and emergent gravity from noncommutative gauge theories
• Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons and Mirror Symmetry
• Matrix models from localization of five-dimensional supersymmetric noncommutative U(1) gauge theory
• $U(1)$-Gauge Field Theories on $G_2$-Manifolds