Quiver Gauge Theory and Extended Electric-magnetic Duality
Abstract
We construct N=1 A-D-E quiver gauge theory with the gauge kinetic term which depends on the adjoint chiral superfields, as a low energy effective theory on D5-branes wrapped on 2-cycles of Calabi-Yau 3-fold in IIB string theory. The field-dependent gauge kinetic term can be engineered by introducing B-field which holomorphically varies on the base space (complex plane) of Calabi-Yau. We consider Weyl reflection on A-D-E node, which acts non-trivially on the gauge kinetic term. It is known that Weyl reflection is related to N=1 electric-magnetic duality. Therefore, the non-trivial action implies an extension of the electric-magnetic duality to the case with the field-dependent gauge kinetic term. We show that this extended duality is consistent from the field theoretical point of view. We also consider the duality map of the operators.
Keywords
Cite
@article{arxiv.0904.2431,
title = {Quiver Gauge Theory and Extended Electric-magnetic Duality},
author = {Kazunobu Maruyoshi},
journal= {arXiv preprint arXiv:0904.2431},
year = {2011}
}
Comments
24 pages; v2: references added, typos corrected