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arXiv · 1506.03818

2d (0,2) Quiver Gauge Theories and D-Branes

Sebastian Franco·Dongwook Ghim·Sangmin Lee·Rak-Kyeong Seong·Daisuke Yokoyama
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Abstract

We initiate a systematic study of 2d (0,2) quiver gauge theories on the worldvolume of D1-branes probing singular toric Calabi-Yau 4-folds. We present an algorithm for efficiently calculating the classical mesonic moduli spaces of these theories, which correspond to the probed geometries. We also introduce a systematic procedure for constructing the gauge theories for arbitrary toric singularities by means of partial resolution, which translates to higgsing in the field theory. Finally, we introduce Brane Brick Models, a novel class of brane configurations that consist of D4-branes suspended from an NS5-brane wrapping a holomorphic surface, tessellating a 3-torus. Brane Brick Models are the 2d analogues of Brane Tilings and allow a direct connection between geometry and gauge theory.

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Sebastian Franco, Dongwook Ghim, Sangmin Lee, Rak-Kyeong Seong, Daisuke Yokoyama. 2015-06-11. 2d (0,2) Quiver Gauge Theories and D-Branes. https://doi.org/10.1007/jhep09(2015)072

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