Holographic RG flows in N=3 Chern-Simons-Matter theory from N=3 4D gauged supergravity
Abstract
We study various supersymmetric RG flows of
N=3
Chern-Simons-Matter theory in three dimensions by using four-dimensional
N=3
gauged supergravity coupled to eight vector multiplets with
SO(3)×SU(3)
gauge group. The
Ad
S
4
critical point preserving the full
SO(3)×SU(3)
provides a gravity dual of
N=3
superconformal field theory with flavor symmetry
SU(3)
. We study the scalar potential and identify a new supersymmetric
Ad
S
4
critical point preserving the full
N=3
supersymmetry and unbroken
SO(3)×U(1)
symmetry. An analytic RG flow solution interpolating between
SO(3)×SU(3)
and
SO(3)×U(1)
critical points is explicitly given. We then investigate possible RG flows from these
Ad
S
4
critical points to non-conformal field theories in the IR. All of the singularities appearing in the IR turn out to be physically acceptable. Furthermore, we look for supersymmetric solutions of the form
Ad
S
2
×
Σ
2
with
Σ
2
being a two-sphere or a two-dimensional hyperbolic space and find a number of
Ad
S
2
geometries preserving four supercharges with
SO(2)×SO(2)×SO(2)
and
SO(2)×SO(2)
symmetries.