34 research outputs found
Supergravities with Minkowski x Sphere Vacua
Recently the authors have introduced a new gauged supergravity theory with a
positive definite potential in D=6, obtained through a generalised Kaluza-Klein
reduction from D=7. Of particular interest is the fact that this theory admits
certain Minkowski x Sphere vacua. In this paper we extend the previous results
by constructing gauged supergravities with positive definitive potentials in
diverse dimensions, together with their vacuum solutions. In addition, we prove
the supersymmetry of the generalised reduction ansatz. We obtain a
supersymmetric solution with no form-field fluxes in the new gauged theory in
D=9. This solution may be lifted to D=10, where it acquires an interpretation
as a time-dependent supersymmetric cosmological solution supported purely by
the dilaton. A further uplift to D=11 yields a solution describing a pp-wave.Comment: Latex, 26 pages, typos correcte
AdS pp-waves
We obtain the pp-waves of D=5 and D=4 gauged supergravities supported by
and gauge field strengths respectively. We show that
generically these solutions preserve 1/4 of the supersymmetry, but
supernumerary supersymmetry can arise for appropriately constrained harmonic
functions associated with the pp-waves. In particular it implies that the
solutions are independent of the light-cone coordinate . We also obtain
the pp-waves in the Freedman-Schwarz model.Comment: Latex, 19 pages, minor changes, to appear in JHE
Supersymmteric Null-like Holographic Cosmologies
We construct a new class of 1/4-BPS time dependent domain-wall solutions with
null-like metric and dilaton in type II supergravities, which admit a null-like
big bang singularity. Based on the domain-wall/QFT correspondence, these
solutions are dual to 1/4-supersymmetric quantum field theories living on a
boundary cosmological background with time dependent coupling constant and UV
cutoff. In particular we evaluate the holographic function for the
2-dimensional dual field theory living on the corresponding null-like
cosmology. We find that this function runs in accordance with the
-theorem as the boundary universe evolves, this means that the number of
degrees of freedom is divergent at big bang and suggests the possible
resolution of big bang singularity.Comment: 26 pages;v2 references adde
PP-waves in AdS Gauged Supergravities and Supernumerary Supersymmetry
Purely gravitational pp-waves in AdS backgrounds are described by the
generalised Kaigorodov metrics, and they generically preserve 1/4 of the
maximum supersymmetry allowed by the AdS spacetimes. We obtain 1/2
supersymmetric purely gravitational pp-wave solutions, in which the Kaigorodov
component is set to zero. We construct pp-waves in AdS gauged supergravities
supported by a vector field. We find that the solutions in D=4 and D=5 can then
preserve 1/2 of the supersymmetry. Like those in ungauged supergravities, the
supernumerary supersymmetry imposes additional constraints on the harmonic
function associated with the pp-waves. These new backgrounds provide
interesting novel features of the supersymmetry enhancement for the dual
conformal field theory in the infinite-momentum frame.Comment: Latex, 27 pages, minor typos corrected and reference added, to appear
in Phys. Rev.
New D=6, N=(1,1) Gauged Supergravity with Supersymmetric (Minkowski)_4 X S^2 Vacuum
We obtain a new gauged D=6, N=(1,1) pure supergravity by a generalised
consistent Kaluza-Klein reduction of M-theory on K3 \times R. The reduction
requires a conspiratory gauging of both the Cremmer-Julia type global (rigid)
symmetry and the homogeneous rescaling symmetry of the supergravity equations
of motion. The gauged supergravity is different from the Romans D=6 gauged
supergravity in that the four vector fields in our new theory are all abelian.
We show that it admits a supersymmetric (Minkowski)_4\times S^2 vacuum, which
can be lifted to D=11 where it becomes the near-horizon geometry of two
intersecting M5-branes wrapping on a supersymmetric two-cycle of K3.Comment: latex, 13 pages, typo correcte
Variant N=(1,1) Supergravity and (Minkowski)_4 x S^2 Vacua
We construct the fermionic sector and supersymmetry transformation rules of a
variant N=(1,1) supergravity theory obtained by generalized Kaluza-Klein
reduction from seven dimensions. We show that this model admits both
(Minkowski)_4 x S^2 and (Minkowski)_3 x S^3 vacua. We perform a consistent
Kaluza-Klein reduction on S^2 and obtain D=4, N=2 supergravity coupled to a
vector multiplet, which can be consistently truncated to give rise to D=4, N=1
supergravity with a chiral multiplet.Comment: Latex, 17 pages. Version appearing in Classical and Quantum Gravit
Supersymmetry of the Schrodinger and PP Wave Solutions in Einstein-Weyl Supergravities
We obtain the Schrodinger and general pp-wave solutions with or without the
massive vector in Einstein-Weyl supergravity. The vector is an auxiliary field
in the off-shell supermultiplet and it acquires a kinetic term in the
Weyl-squared super invariant. We study the supersymmetry of these solutions and
find that turning on the massive vector has a consequence of breaking all the
supersymmetry. The Schrodinger and also the pp-wave solutions with the massive
vector turned off on the other hand preserve 1/4 of the supersymmetry.Comment: 13 pages, no figur
The Gaugings of Maximal D=6 Supergravity
We construct the most general gaugings of the maximal D=6 supergravity. The
theory is (2,2) supersymmetric, and possesses an on-shell SO(5,5) duality
symmetry which plays a key role in determining its couplings. The field content
includes 16 vector fields that carry a chiral spinor representation of the
duality group. We utilize the embedding tensor method which determines the
appropriate combinations of these vectors that participate in gauging of a
suitable subgroup of SO(5,5). The construction also introduces the magnetic
duals of the 5 two-form potentials and 16 vector fields.Comment: 34 pages, latex, reference added, typo's corrected and minor
improvements mad
Examples of signature (2,2) manifolds with commuting curvature operators
We exhibit Walker manifolds of signature (2,2) with various commutativity
properties for the Ricci operator, the skew-symmetric curvature operator, and
the Jacobi operator. If the Walker metric is a Riemannian extension of an
underlying affine structure A, these properties are related to the Ricci tensor
of A
N=2 supergravity in five dimensions revisited
We construct matter-coupled N=2 supergravity in five dimensions, using the
superconformal approach. For the matter sector we take an arbitrary number of
vector-, tensor- and hyper-multiplets. By allowing off-diagonal vector-tensor
couplings we find more general results than currently known in the literature.
Our results provide the appropriate starting point for a systematic search for
BPS solutions, and for applications of M-theory compactifications on Calabi-Yau
manifolds with fluxes.Comment: 35 pages; v.2: A sign changed in a bilinear fermion term in (5.7