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.

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

References in corpus (5)

• Emergent Gravity from Noncommutative Spacetime
• Emergent Spacetime and The Origin of Gravity
• Noncommutative Electromagnetism As A Large N Gauge Theory
• Remarks on an Exact Seiberg-Witten map
• Novel Ambiguities in the Seiberg-Witten Map and the Emergent Gravity

Cited by in corpus (1)

• Matrix models from localization of five-dimensional supersymmetric noncommutative U(1) gauge theory