N=2 solutions of massive type IIA and their Chern-Simons duals
Michela Petrini, Alberto Zaffaroni
TL;DR
This work constructs explicit $AdS_4$ vacua of massive Type IIA supergravity preserving $\mathcal{N}=2$ supersymmetry, arising as Romans-mass deformations of the Type IIA reduction of the M-theory background $AdS_4\times M^{111}$. The solutions possess $SU(3)\times SU(3)$ structure and $SU(3)\times U(1)^2$ isometry, and are proposed to be dual to three-dimensional $\mathcal{N}=2$ Chern-Simons quivers with general CS levels and gauge ranks, realized as $M^{111}/\mathbb{Z}_k$. The undeformed background has $F_0=0$, $H=0$, nonzero $F_2$ and $F_6$ fluxes with a running dilaton; introducing $F_0$ yields a consistent deformation controlled by two linear differential equations for two functions, producing a regular two-parameter family after flux quantization. The results strengthen the AdS$_4$/CFT$_3$ correspondence in reduced supersymmetry contexts and point to a broader class of vacua on Sasaki–Einstein bases, with potential extensions to other manifolds and lower-supersymmetry deformations.
Abstract
We find explicit AdS4 solutions of massive type IIA with N=2 supersymmetry obtained deforming with a Roman mass the type IIA supersymmetric reduction of the M theory background AdS4 times M111. The family of solutions have SU(3) times SU(3) structure and isometry SU(3) times U(1)^2. They are conjectured to be dual to three-dimensional N=2 Chern-Simons theories with generic Chern-Simons couplings and gauge group ranks.