49 research outputs found
Vacua of N=10 three dimensional gauged supergravity
We study scalar potentials and the corresponding vacua of N=10 three
dimensional gauged supergravity. The theory contains 32 scalar fields
parametrizing the exceptional coset space . The admissible gauge groups considered in this work involve both
compact and non-compact gauge groups which are maximal subgroups of
and , respectively. These gauge groups are
given by for , , , and . We
find many AdS critical points with various unbroken gauge symmetries. The
relevant background isometries associated to the maximally supersymmetric
critical points at which all scalars vanish are also given. These correspond to
the superconformal symmetries of the dual conformal field theories in two
dimensions.Comment: 37 pages no figures, typos corrected and a little change in the
forma
Twisted compactification of N = 2 5D SCFTs to three and two dimensions from F(4) gauged supergravity
Gravitational and Yang-Mills instantons in holographic RG flows
We study various holographic RG flow solutions involving warped
asymptotically locally Euclidean (ALE) spaces of type. A
two-dimensional RG flow from a UV (2,0) CFT to a (4,0) CFT in the IR is found
in the context of (1,0) six dimensional supergravity, interpolating between
and geometries. We also find
solutions involving non trivial gauge fields in the form of SU(2) Yang-Mills
instantons on ALE spaces. Both flows are of vev type, driven by a vacuum
expectation value of a marginal operator. RG flows in four dimensional field
theories are studied in the type IIB and type I context. In type IIB theory,
the flow interpolates between and geometries. The field theory interpretation is that of an N=2
quiver gauge theory flowing to N=4 SU(n) gauge theory. In type I theory the
solution describes an RG flow from N=2 quiver gauge theory with a product gauge
group to N=2 gauge theory in the IR, with gauge group . The
corresponding geometries are and , respectively. We also
explore more general RG flows, in which both the UV and IR CFTs are N=2 quiver
gauge theories and the corresponding geometries are and . Finally, we discuss the matching between the geometric and
field theoretic pictures of the flows.Comment: 32 pages, 3 figures, typoe corrected and a reference adde