IIB duals of D = 3 {N} = 4 circular quivers
Abstract
We construct the typeIIB AdS4 ⋉ K supergravity solutions which are dual to the threedimensional {N} = 4 superconformal field theories that arise as infrared fixed points of circularquiver gauge theories. These superconformal field theories are labeled by a triple ( {ρ, hat{ρ},L} ) subject to constraints, where ρ and hat{ρ} are two partitions of a number N, and L is a positive integer. We show that in the limit of large L the localized five branes in our solutions are effectively smeared, and these typeIIB solutions are dual to the nearhorizon geometry of Mtheory M2branes at a {{{{{{C}}^4}}} / {{( {{Z_k}× {Z_{widehat{k}}}} )}} .} orbifold singularity. Our IIB solutions resolve the singularity into localized fivebrane throats, without breaking the conformal symmetry. The constraints satisfied by the triple ( {ρ, hat{ρ},L} ) , together with the enhanced nonabelian flavour symmetries of the superconformal field theories are precisely reproduced by the typeIIB supergravity solutions. As a bonus, we uncover a novel type of "orbifold equivalence" between different quantum field theories and provide quantitative evidence for this equivalence.
 Publication:

Journal of High Energy Physics
 Pub Date:
 December 2012
 DOI:
 10.1007/JHEP12(2012)044
 arXiv:
 arXiv:1210.2590
 Bibcode:
 2012JHEP...12..044A
 Keywords:

 Brane Dynamics in Gauge Theories;
 Intersecting branes models;
 AdSCFT Correspondence;
 High Energy Physics  Theory
 EPrint:
 53 pages, 16 figures. Added several comments and some extra references on the relation of our IIB solutions to M theory. Paper to appear in JHEP