D_n Quivers From Branes

TL;DR

This paper explores D-brane configurations on orbifolds with (-1)^{F_L} action, analyzing their low-energy gauge theories, mirror symmetry, hidden deformations, and exact solutions related to Hitchin systems and S-duality.

Contribution

It provides a detailed study of D_n quiver gauge theories, their S-duality, and the connection to Hitchin systems, revealing new insights into their integrable structures and dualities.

Findings

Derived exact solutions for D_n quiver theories.

Linked gauge theories to Hitchin integrable systems.

Identified hidden Fayet-Iliopoulos deformations.

Abstract

D-branes can end on orbifold planes if the action of the orbifold group includes (-1)^{F_L}. We consider configurations of D-branes ending on such orbifolds and study the low-energy theory on their worldvolume. We apply our results to gauge theories with eight supercharges in three and four dimensions. We explain how mirror symmetry for N=4 d=3 gauge theories with gauge group Sp(k) and matter in the antisymmetric tensor and fundamental representations follows from S-duality of IIB string theory. We argue that some of these theories have hidden Fayet-Iliopoulos deformations, not visible classically. We also study a class of finite N=2 d=4 theories (so-called D_n quiver theories) and find their exact solution. The integrable model corresponding to the exact solution is a Hitchin system on an orbifold Riemann surface. We also give a simple derivation of the S-duality group of these theories based on their relationship to SO(2n) instantons on R^2\times T^2.