66 research outputs found
Supersymmetric AdS solutions from tri-sasakian truncation
A class of , with being a two-sphere or a
hyperbolic space, solutions within four-dimensional gauged supergravity
coupled to three-vector multiplets with dyonic gauging is identified. The
gauged supergravity has non-semisimple gauge group and can be obtained from a
consistent truncation of eleven-dimensional supergravity on a tri-sasakian
manifold. The maximally symmetric vacua contain geometries with
supersymmetry corresponding to and superconformal field theories
(SCFTs) in three dimensions. We find supersymmetric solutions of the form
preserving two supercharges. These solutions describe
twisted compactifications of the dual and SCFTs and should arise as
near horizon geometries of dyonic black holes in asymptotically
space-time. Most solutions have hyperbolic horizons although some of them
exhibit spherical horizons. These provide a new class of
geometries with known M-theory origin.Comment: 31 pages, no figure, typos corrected, misleading words change
Supersymmetric deformations of 3D SCFTs from tri-sasakian truncation
We holographically study supersymmetric deformations of and
superconformal field theories (SCFTs) in three dimensions using
four-dimensional gauged supergravity coupled to three-vector multiplets
with non-semisimple gauge
group. This gauged supergravity can be obtained from a truncation of
eleven-dimensional supergravity on a tri-sasakian manifold and admits both
supersymmetric and stable non-supersymmetric critical points.
We analyze the BPS equations for singlet scalars in details and study
possible supersymmetric solutions. A number of RG flows to non-conformal field
theories and half-supersymmetric domain walls are found, and many of them can
be given analytically. Apart from these "flat" domain walls, we also consider
-sliced domain wall solutions describing two-dimensional conformal
defects with supersymmetry within the dual field theory while
this type of solutions does not exist in the case.Comment: 33 pages, 4 figures, references added, typos and parts of the
analysis corrected with numerical solutions include
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