Seiberg duality for Chern-Simons quivers and D-brane mutations
Abstract
Chern-Simons quivers for M2-branes at Calabi-Yau singularities are best understood as the low energy theory of D2-branes on a dual type IIA background. We show how the D2-brane point of view naturally leads to three dimensional Seiberg dualities for Chern-Simons quivers with chiral matter content: They arise from a change of brane basis (or mutation), in complete analogy with the better known Seiberg dualities for D3-brane quivers. This perspective reproduces the known rules for Seiberg dualities in Chern-Simons-Yang-Mills theories with unitary gauge groups. We provide explicit examples of dual theories for the quiver dual to the Y^{p,q}(CP^2) geometries. We also comment on the string theory derivation of CS quivers dual to massive type IIA geometries.
Cite
@article{arxiv.1201.2432,
title = {Seiberg duality for Chern-Simons quivers and D-brane mutations},
author = {Cyril Closset},
journal= {arXiv preprint arXiv:1201.2432},
year = {2012}
}
Comments
32 pages+appendix; v2: added a reference