2011/09/30 by Anindya Dey
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Cosmology and Gravitation Theories #Dual polyhedron #Duality (order theory) #Gauge theory #Mirror symmetry #Noncommutative and Quantum Gravity Theories #Quiver #Seiberg duality #Supergravity #Supersymmetric gauge theory #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1007/jhep04(2012)051
50 pages, 12 figures; comments on the number of FI parameters added
arxiv created 2012/01/14 · openalex publication_date 2012/04/01 · arxiv updated 2015/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Mirror Symmetry for a large class of three dimensional N=4 supersymmetric gauge theories has a natural explanation in terms of M-theory compactified on a product of ALE spaces. A pair of such mirror duals can be described as two different deformations of the eleven-dimensional supergravity background M=ℝ2,1 × ALE1 × ALE2, to which they flow in the deep IR. Using the A-D-E classification of ALE spaces, we present a neat way to catalogue dual quiver gauge theories that arise in this fashion. In addition to the well-known examples studied in \citeIntriligator:1996ex, \citedeBoer:1996mp, this procedure leads to new sets of dual theories. For a certain subset of dual theories which arise from the aforementioned M-theory background with an A-type ALE1 and a D-type ALE2, we verify the duality explicitly by a computation of partition functions of the theories on S3, using localization techniques . We derive the relevant mirror map and discuss its agreement with predictions from the Type IIB brane construction for these theories.