English

Coisotropic Branes in Toric Calabi-Yau 3-folds

High Energy Physics - Theory 2014-10-10 v1

Abstract

We study disk-instantons ending on coisotropic branes preserved by real torus action in toric Calabi-Yau 3-folds. In particular, we find fermion zero modes on disk multi-covers ending on a coisotropic brane in local P^1 geometry with normal bundle (-a,a-2). It turns out that, independent of a, disk multi-cover formula is the same as for disks ending on a Lagrangian brane in resolved conifold. We further construct an example of a coisotropic brane in Calabi-Yau 3-fold used in geometric engineering of 4d N=2 SU(K) gauge theory, where this brane provides a surface defect.

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Cite

@article{arxiv.1410.2340,
  title  = {Coisotropic Branes in Toric Calabi-Yau 3-folds},
  author = {Natalia Saulina},
  journal= {arXiv preprint arXiv:1410.2340},
  year   = {2014}
}

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16 pages