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arXiv · 1207.0811

Network and Seiberg Duality

Dan Xie·Masahito Yamazaki
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Abstract

We define and study a new class of 4d N=1 superconformal quiver gauge theories associated with a planar bipartite network. While UV description is not unique due to Seiberg duality, we can classify the IR fixed points of the theory by a permutation, or equivalently a cell of the totally non-negative Grassmannian. The story is similar to a bipartite network on the torus classified by a Newton polygon. We then generalize the network to a general bordered Riemann surface and define IR SCFT from the geometric data of a Riemann surface. We also comment on IR R-charges and superconformal indices of our theories.

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Dan Xie, Masahito Yamazaki. 2012-09-14. Network and Seiberg Duality. https://doi.org/10.1007/jhep09(2012)036

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