A simple class of N=3 gauge/gravity duals

Details A simple class of N=3 gauge/gravity duals A simple class of N=3 gauge/gravity duals

2008-08-06

arxiv.org/abs/0808.0864v2

JHEP 0810:101,2008

Physics

High Energy Physics

High Energy Physics - Theory

1+22 pages, 3 figures. v2: minor corrections, references added

Scientific paper

10.1088/1126-6708/2008/10/101

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.

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