A simple class of N=3 gauge/gravity duals
Abstract
We find the gravity duals to an infinite series of N=3 Chern-Simons quiver theories. They are AdS_4 x M_7 vacua of M-theory, with M_7 in a certain class of 3-Sasaki-Einstein manifolds obtained by a quotient construction. The field theories can be engineered from a brane configuration; their geometry is summarized by a "hyperKaehler toric fan" that can be read off easily from the relative angles of the branes. The singularity at the tip of the cone over M_7 is generically not an orbifold. The simplest new manifolds we consider can be written as the biquotient U(1)\U(3)/U(1). We also comment on the relation between our theories and four-dimensional N=1 theories with the same quiver.
Cite
@article{arxiv.0808.0864,
title = {A simple class of N=3 gauge/gravity duals},
author = {Daniel Louis Jafferis and Alessandro Tomasiello},
journal= {arXiv preprint arXiv:0808.0864},
year = {2009}
}
Comments
1+22 pages, 3 figures. v2: minor corrections, references added