255 research outputs found
Vacua Analysis in Extended Supersymmetry Compactifications
We analyse geometric type IIA flux compactifications leading to N=4 gauged
supergravities in four dimensions. The complete landscape of isotropic vacua is
presented, which turns out to belong to a unique theory. The solutions admit an
uplift to maximal supergravity due to the vanishing of the flux-induced
tadpoles for all the supersymmetry-breaking branes. Such an uplift is sketched
out and the full N=8 mass spectra are discussed. We find the interesting
presence of a non-supersymmetric and nevertheless stable minimum.Comment: 7 pages, contribution to the proceedings of the XVII European
Workshop on String Theory, Padua 201
Type IIB on through & fluxes
We study a class of orientifold compactifications of type IIB supergravity
with fluxes down to 4D in connection with truncations of half-maximal gauged
supergravities yielding isotropic STU-models with minimal supersymmetry. In
this context, we make use of a group-theoretical approach in order to derive
flux-induced superpotentials for different IIB backgrounds. We first review the
toroidal case yielding GKP-like superpotentials characterised by their
\emph{no-scale} behaviour. We then turn to and , which, surprisingly, give rise to effective
descriptions of non-geometric - and -fluxes through globally geometric
non-toroidal compactifications. As a consequence, such constructions break the
no-scale symmetry without invoking any non-perturbative effects.Comment: 19 page
Geometric non-geometry
We consider a class of (orbifolds of) M-theory compactifications on with gauge fluxes yielding minimally supersymmetric STU-models
in 4D. We present a group-theoretical derivation of the corresponding
flux-induced superpotentials and argue that the aforementioned backgrounds
provide a (globally) geometric origin for 4D theories that only look locally
geometric from the perspective of twisted tori. In particular, we show that
Q-flux can be used to generate compactifications on . We
thus conclude that the effect of turning on non-geometric fluxes, at least when
the section condition is solved, may be recovered by considering reductions on
different topologies other than toroidal.Comment: 20 pages, 5 table
An alternative to anti-branes and O-planes?
In this paper we consider type IIA compactifications in the isotropic Z2 x Z2
orbifold with a flux-induced perturbative superpotential combined with
non-perturbative effects. Without requiring the presence of O-planes, and
simply having D6-branes as local sources, we demonstrate the existence of de
Sitter (dS) critical points, where the non-perturbative contributions to the
cosmological constant have negligible size. We note, however, that these
solutions generically have tachyons. By means of a more systematic search, we
are able to find two examples of stable dS vacua with no need for anti-branes
or O-planes, which, however, exhibit important non-perturbative corrections.
The examples that we present turn out to remain stable even after opening up
the fourteen non-isotropic moduli.Comment: 12 pages, 4 tables; v2: typos corrected, published versio
On the distribution of stable de Sitter vacua
The possible existence of (meta-) stable de Sitter vacua in string theory is
of fundamental importance. So far, there are no fully stable solutions where
all effects are under perturbative control. In this paper we investigate the
presence of stable de Sitter vacua in type II string theory with non-geometric
fluxes. We introduce a systematic method for solving the equations of motion at
the origin of moduli space, by expressing the fluxes in terms of the
supersymmetry breaking parameters. As a particular example, we revisit the
geometric type IIA compactifications, and argue that non-geometric fluxes are
necessary to have (isotropically) stable de Sitter solutions. We also analyse a
class of type II compactifications with non-geometric fluxes, and study the
distribution of (isotropically) stable de Sitter points in the parameter space.
We do this through a random scan as well as through a complementary analysis of
two-dimensional slices of the parameter space. We find that the (isotropically)
stable de Sitter vacua are surprisingly rare, and organise themselves into thin
sheets at small values of the cosmological constant.Comment: 24 pages, 8 figures, 2 tables; v3: references adde
Accelerated Universes from type IIA Compactifications
We study slow-roll accelerating cosmologies arising from geometric
compactifications of type IIA string theory on
. With the aid of a genetic
algorithm, we are able to find quasi-de Sitter backgrounds with both slow-roll
parameters of order . Furthermore, we study their evolution by numerically
solving the corresponding time-dependent equations of motion, and we show that
they actually display a few e-folds of accelerated expansion. Finally, we
comment on their perturbative reliability.Comment: 22 pages, 3 figures and 5 table
Fully stable dS vacua from generalised fluxes
We investigate the possible existence of (meta-)stable de Sitter vacua within
N=1 compactifications with generalised fluxes. With the aid of an algorithm
inspired by the method of differential evolution, we were able to find three
novel examples of completely tachyon-free de Sitter extrema in a non-isotropic
type IIB model with non-geometric fluxes. We also analyse the surroundings of
the aforementioned points in parameter space and chart the corresponding
stability regions. These happen to occur at small values of the cosmological
constant compared to the AdS scale.Comment: 6 pages + appendix, 9 embedded picture files. v2: Minor changes to
the text. Version accepted for JHEP publicatio
Lobotomy of Flux Compactifications
We provide the dictionary between four-dimensional gauged supergravity and
type II compactifications on with metric and gauge fluxes in the
absence of supersymmetry breaking sources, such as branes and orientifold
planes. Secondly, we prove that there is a unique isotropic compactification
allowing for critical points. It corresponds to a type IIA background given by
a product of two 3-tori with SO(3) twists and results in a unique theory
(gauging) with a non-semisimple gauge algebra. Besides the known four AdS
solutions surviving the orientifold projection to induced by
O6-planes, this theory contains a novel AdS solution that requires non-trivial
orientifold-odd fluxes, hence being a genuine critical point of the
theory.Comment: 44 pages (33 pages + appendices), 13 tables, 3 figure
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