A simple class of N=3 gauge/gravity duals

Daniel Louis Jafferis , Alessandro Tomasiello

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classification ✦ hep-th

keywords theoriesclassdualsgravitymanifoldsquiveranglesbiquotient

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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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$S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves
hep-th 2026-03 conditional novelty 7.0

Derives Airy representation for S^3 partition functions in M2-brane theories that exactly matches equivariant topological string predictions and proposes a new CY4 to C x CY3 correspondence via quantum curves.