String theory and the 4D/3D reduction of Seiberg duality. A review

Amariti, Antonio; Orlando, Domenico; Reffert, Susanne (2017). String theory and the 4D/3D reduction of Seiberg duality. A review. Physics reports - review section of the Physics letters, 705-706, pp. 1-53. Elsevier Science 10.1016/j.physrep.2017.08.002

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We review the reduction of four-dimensional N = 1 Seiberg duality to three dimen- sions focusing on the D brane engineering approach. We start with an overview of four- dimensional Seiberg duality for theories with various types of gauge groups and matter content both from a field-theoretic and a brane engineering point of view. Then we describe two families of N = 2 three-dimensional dualities, namely Giveon–Kutasov-like and Aharony-like dualities. The last part of our discussion is devoted to the 4D/3D reduction of the dualities studied above. We discuss both the analysis at finite radius, crucial for preserving the duality in the dimensional reduction, and the zero-size limit that must be supported by a real mass flow and a Higgsing, which can differ case by case. We show that this mechanism is reproduced in the brane description by T-duality, supplying a unified picture for all the different cases. As a bonus we show that this analysis provides a brane description for Aharony-like dualities.

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