https://doi.org/10.1140/epjc/s10052-018-6118-0
Regular Article - Theoretical Physics
Holographic RG flows in
SCFTs from half-maximal gauged supergravity
String Theory and Supergravity Group, Department of Physics, Faculty of Science, Chulalongkorn University, 254 Phayathai Road, Pathumwan, Bangkok, 10330, Thailand
* e-mail: parinya.ka@hotmail.com
Received:
18
June
2018
Accepted:
29
July
2018
Published online:
6
August
2018
We study four-dimensional gauged supergravity coupled to six vector multiplets with semisimple gauge groups
,
and
. All of these gauge groups are dyonically embedded in the global symmetry group SO(6, 6) via its maximal subgroup
. For
gauge group, there are four
supersymmetric
vacua with
,
,
and
symmetries, respectively. These
vacua correspond to
SCFTs in three dimensions with SO(4) R-symmetry and different flavor symmetries. We explicitly compute the full scalar mass spectra at all these vacua. Holographic RG flows interpolating between these conformal fixed points are also given. The solutions describe supersymmetric deformations of
SCFTs by relevant operators of dimensions
. A number of these solutions can be found analytically although some of them can only be obtained numerically. These results provide a rich and novel class of
fixed points in three-dimensional Chern–Simons-Matter theories and possible RG flows between them in the framework of
gauged supergravity in four dimensions. Similar studies are carried out for non-compact gauge groups, but the
gauge group exhibits a much richer structure.
© The Author(s), 2018