Holographic Duals of D=3 N=4 Superconformal Field Theories
arXiv:1106.4253 · doi:10.1007/JHEP08(2011)087
Abstract
We find the warped AdS_4 x K type-IIB supergravity solutions holographically dual to a large family of three dimensional \cN=4 superconformal field theories labeled by a pair (Ï,\hatÏ) of partitions of N. These superconformal theories arise as renormalization group fixed points of three dimensional mirror symmetric quiver gauge theories, denoted by T^Ï_{\hat Ï}(SU(N)) and T_Ï^{\hat Ï}(SU(N)) respectively. We give a supergravity derivation of the conjectured field theory constraints that must be satisfied in order for these gauge theories to flow to a non-trivial supersymmetric fixed point in the infrared. The exotic global symmetries of these superconformal field theories are precisely realized in our explicit supergravity description.
33 pages, LaTeX; added a comment mentioning that these solutions have all moduli fixed; typos corrected; references added