Duality for SUxSO and SUxSp via Branes

TL;DR

This paper constructs and analyzes dual supersymmetric gauge theories with product groups using brane configurations in string theory, deriving Seiberg duals and exploring meson deformations and Higgsing effects.

Contribution

It introduces a brane-based method to derive Seiberg duals for product gauge groups and accounts for meson deformations and semi-infinite branes in the duality framework.

Findings

Derived Seiberg duals for $SU(M)\times SO(N)$ and $SU(M)\times Sp(2N)$ theories.

Reproduced dualities via brane constructions.

Analyzed effects of meson deformations and semi-infinite branes.

Abstract

Using a six-orientifold, fourbranes and four fivebranes in type IIA string theory we construct $\mathcal{N}$=1 supersymmetric gauge theories in four dimensions with product group $SU(M)\times SO(N)$ or $SU(M)\times Sp(2N)$, a bifundamental flavor and quarks. We obtain the Seiberg dual for these theories and rederive it via branes. To obtain the complete dual group via branes we have to add semi-infinite fourbranes. We propose that the theory derived from branes has a meson deformation switched on. This deformation implies higgsing in the dual theory. The addition of the semi-infinite fourbranes compensates this effect.