## AdS_4/CFT_3 duals from M2-branes at hypersurface singularities and their deformations

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Martelli, Dario

Sparks, James

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We construct three-dimensional N=2 Chern-Simons-quiver theories which are
holographically dual to the M-theory Freund-Rubin solutions AdS_4 x V_{5,2}/Z_k
(with or without torsion G-flux), where V_{5,2} is a homogeneous
Sasaki-Einstein seven-manifold. The global symmetry group of these theories is
generically SU(2) x U(1) x U(1)_R, and they are hence non-toric. The field
theories may be thought of as the n=2 member of a family of models, labelled by
a positive integer n, arising on multiple M2-branes at certain hypersurface
singularities. We describe how these models can be engineered via generalized
Hanany-Witten brane constructions. The AdS_4 x V_{5,2}/Z_k solutions may be
deformed to a warped geometry R^{1,2} x T^* S^4/Z_k, with self-dual G-flux
through the four-sphere. We show that this solution is dual to a supersymmetric
mass deformation, which precisely modifies the classical moduli space of the
field theory to the deformed geometry.

Comment: 62 pages, 7 figures

Comment: 62 pages, 7 figures

##### Keywords

High Energy Physics - Theory