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arXiv · 1410.2340

Coisotropic Branes in Toric Calabi-Yau 3-folds

Natalia Saulina
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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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Natalia Saulina. 2014-10-09. Coisotropic Branes in Toric Calabi-Yau 3-folds. https://arxiv.org/abs/1410.2340

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