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

High Energy Physics - Theory 2015-05-07 v3 Mathematical Physics Differential Geometry math.MP

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.

Keywords

Cite

@article{arxiv.1411.6115,
  title  = {Calabi-Yau manifolds from noncommutative Hermitian U(1) instantons},
  author = {Hyun Seok Yang},
  journal= {arXiv preprint arXiv:1411.6115},
  year   = {2015}
}

Comments

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