Standard-model bundles

Ron Donagi; Burt Ovrut; Tony Pantev; Dan Waldram

Standard-model bundles

代数几何 2008-11-26 v2 凝聚态物理高能物理 - 理论

作者: Ron Donagi , Burt Ovrut , Tony Pantev , Dan Waldram

摘要

We describe a family of genus one fibered Calabi-Yau threefolds with fundamental group ${\mathbb Z}/2$ . On each Calabi-Yau $Z$ in the family we exhibit a positive dimensional family of Mumford stable bundles whose symmetry group is the Standard Model group $SU(3)\times SU(2)\times U(1)$ and which have $c_{3} = 6$ . We also show that for each bundle $V$ in our family, $c_{2}(Z) - c_{2}(V)$ is the class of an effective curve on $Z$ . These conditions ensure that $Z$ and $V$ can be used for a phenomenologically relevant compactification of Heterotic M-theory.

关键词

calabi-yau manifold vector bundles moduli spaces of vector bundles

引用

@article{arxiv.math/0008010,
  title  = {Standard-model bundles},
  author = {Ron Donagi and Burt Ovrut and Tony Pantev and Dan Waldram},
  journal= {arXiv preprint arXiv:math/0008010},
  year   = {2008}
}

备注

Reference to the work of C.Schoen added

Standard-model bundles

摘要

关键词

引用

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