34 research outputs found
Supersymmetric AdS vacua and separation of scales
The moduli space of the supersymmetric massive IIA AdS4xS2(B4) vacua, where
S2(B4) is a two-sphere bundle over a four-dimensional Kaehler-Einstein base B4,
includes three independent parameters which can be thought of as corresponding
to the sizes of AdS4, B4 and the S2 fiber. It might therefore be expected that
these vacua do not suffer from the absence of scale separation. We show that
the independence of the geometric moduli survives flux quantization. However,
we uncover an attractor behavior whereby all sizes flow to equality in some
neighborhood of spacetime independently of the initial conditions set by the
parameters of the solution. This is further confirmed by the study of the ratio
of internal to external scalar curvatures. We also show that the asymptotic
Kaluza-Klein spectrum of a ten-dimensional massive scalar is governed by a
scale of the order of the AdS4 radius. Furthermore we point out that the
curvature ratio in supersymmetric IIA AdS4 vacua with rigid SU(3) structure is
of order one, indicating the absence of scale separation in this large class of
vacua.Comment: 21 pages, 2 figures; v2 typos correcte
N=1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes
We consider N=1 compactifications of the type-IIA theory on the T6/(Z2xZ2)
orbifold and O6 orientifold, in the presence of D6-branes and general NSNS, RR
and Scherk-Schwarz geometrical fluxes. Introducing a suitable dual formulation
of the theory, we derive and solve the Bianchi identities, and show how certain
combinations of fluxes can relax the constraints on D6-brane configurations
coming from the cancellation of RR tadpoles. We then compute, via generalized
dimensional reduction, the N=1, D=4 effective potential for the seven main
moduli, and comment on the relation with truncated N=4 gaugings. As a
byproduct, we obtain a general geometrical expression for the superpotential.
We finally identify a family of fluxes, compatible with all Bianchi identities,
that perturbatively stabilize all seven moduli in supersymmetric AdS4.Comment: 19 pages, no figures, JHEP3 LaTeX. Published versio
N=1,2 supersymmetric vacua of IIA supergravity and SU(2) structures
We consider backgrounds of (massive) IIA supergravity of the form of a warped
product , where is a six-dimensional compact
manifold and is or a four-dimensional Minkowski space. We
analyse conditions for and supersymmetry on
manifolds of SU(2) structure. We prove the absence of solutions in certain
cases.Comment: 24 pages; v2: reference adde
The gauge dual of Romans mass
We deform the recently proposed holographic duality between the ABJM N=6
Chern-Simons-matter theory and type IIA string theory in AdS4xCP3. We add a
non-zero Romans mass F_0, whose dual we identify as the sum of the Chern-Simons
levels for the two gauge groups. One can naturally identify four different
theories, with different amounts of supersymmetry and of flavor symmetry.Comment: 26 pages. v4: Corrected the sign for the probe brane potentia
Universal de Sitter solutions at tree-level
Type IIA string theory compactified on SU(3)-structure manifolds with
orientifolds allows for classical de Sitter solutions in four dimensions. In
this paper we investigate these solutions from a ten-dimensional point of view.
In particular, we demonstrate that there exists an attractive class of de
Sitter solutions, whose geometry, fluxes and source terms can be entirely
written in terms of the universal forms that are defined on all SU(3)-structure
manifolds. These are the forms J and Omega, defining the SU(3)-structure
itself, and the torsion classes. The existence of such universal de Sitter
solutions is governed by easy-to-verify conditions on the SU(3)-structure,
rendering the problem of finding dS solutions purely geometrical. We point out
that the known (unstable) solution coming from the compactification on SU(2)x
SU(2) is of this kind.Comment: 20 pages, 3 figures, v2: added reference
Moduli Stabilization and Cosmology of Type IIB on SU(2)-Structure Orientifolds
We consider type IIB flux compactifications on six-dimensional
SU(2)-structure manifolds with O5- and O7-planes. These six-dimensional spaces
allow not only for F_3 and H_3 fluxes but also for F_1 and F_5 fluxes. We
derive the four-dimensional N=1 scalar potential for such compactifications and
present one explicit example of a fully stabilized AdS vacuum with large volume
and small string coupling. We then discuss cosmological aspects of these
compactifications and derive several no-go theorems that forbid dS vacua and
slow-roll inflation under certain conditions. We also study concrete examples
of cosets and twisted tori and find that our no-go theorems forbid dS vacua and
slow-roll inflation in all but one of them. For the latter we find a dS
critical point with \epsilon numerically zero. However, the point has two
tachyons and eta-parameter \eta \approx -3.1.Comment: 35 pages + appendices, LaTeX2e; v2: numerical dS extremum added,
typos corrected, references adde
BPS-like potential for compactifications of heterotic M-theory?
We analyze the possibility to rewrite the action of Horava-Witten theory in a
BPS-like form, which means that it is given as a sum of squares of the
supersymmetry conditions. To this end we compactify the theory on a seven
dimensional manifold of SU(3) structure and rewrite the scalar curvature of the
compactification manifold in terms of the SU(3) structure forms. This shows
that a BPS-like form cannot be obtained in general, but only for certain types
of compactifications.Comment: 31 pages, no figures, references added, typos correcte
Intersecting 6-branes from new 7-manifolds with G_2 holonomy
We discuss a new family of metrics of 7-manifolds with G_2 holonomy, which
are R^3 bundles over a quaternionic space. The metrics depend on five
parameters and have two Abelian isometries. Certain singularities of the G_2
manifolds are related to fixed points of these isometries; there are two
combinations of Killing vectors that possess co-dimension four fixed points
which yield upon compactification only intersecting D6-branes if one also
identifies two parameters. Two of the remaining parameters are quantized and we
argue that they are related to the number of D6-branes, which appear in three
stacks. We perform explicitly the reduction to the type IIA model.Comment: 25 pages, 1 figure, Latex, small changes and add refs, version
appeared in JHE